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132706849140 = 2232512726322073
BaseRepresentation
bin111101110010111110…
…0011101000101110100
3110200112120100102120200
41323211330131011310
54133240423133030
6140544212200500
712405412414545
oct1734574350564
9420476312520
10132706849140
115130a613a38
1221877309130
13c68b918908
1465ccba24cc
1536ba7ecd60
hex1ee5f1d174

132706849140 has 144 divisors (see below), whose sum is σ = 407274835968. Its totient is φ = 34974761472.

The previous prime is 132706849109. The next prime is 132706849151. The reversal of 132706849140 is 41948607231.

132706849140 is a `hidden beast` number, since 1 + 32 + 70 + 68 + 491 + 4 + 0 = 666.

It is a super-2 number, since 2×1327068491402 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6001144 + ... + 6023216.

It is an arithmetic number, because the mean of its divisors is an integer number (2828297472).

Almost surely, 2132706849140 is an apocalyptic number.

132706849140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132706849140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203637417984).

132706849140 is an abundant number, since it is smaller than the sum of its proper divisors (274567986828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132706849140 is a wasteful number, since it uses less digits than its factorization.

132706849140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22478 (or 22473 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 132706849140 in words is "one hundred thirty-two billion, seven hundred six million, eight hundred forty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 263 381 508 526 635 762 789 1052 1143 1270 1315 1524 1578 1905 2286 2367 2540 2630 3156 3810 3945 4572 4734 5260 5715 7620 7890 9468 11430 11835 15780 22073 22860 23670 33401 44146 47340 66219 66802 88292 100203 110365 132438 133604 167005 198657 200406 220730 264876 300609 331095 334010 397314 400812 441460 501015 601218 662190 668020 794628 993285 1002030 1202436 1324380 1503045 1986570 2004060 2803271 3006090 3973140 5606542 5805199 6012180 8409813 11213084 11610398 14016355 16819626 17415597 23220796 25229439 28032710 29025995 33639252 34831194 42049065 50458878 52246791 56065420 58051990 69662388 84098130 87077985 100917756 104493582 116103980 126147195 168196260 174155970 208987164 252294390 261233955 348311940 504588780 522467910 737260273 1044935820 1474520546 2211780819 2949041092 3686301365 4423561638 6635342457 7372602730 8847123276 11058904095 13270684914 14745205460 22117808190 26541369828 33176712285 44235616380 66353424570 132706849140