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132837134640 = 2435779069723
BaseRepresentation
bin111101110110110110…
…1011101000100110000
3110200212122111121200120
41323231231131010300
54134022301302030
6141005144450240
712411554004630
oct1735555350460
9420778447616
10132837134640
1151377110401
12218b2a79980
13c6ac904322
1466021d86c0
1536c6e86010
hex1eedb5d130

132837134640 has 80 divisors (see below), whose sum is σ = 470622997248. Its totient is φ = 30362773248.

The previous prime is 132837134609. The next prime is 132837134719. The reversal of 132837134640 is 46431738231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 132837134592 and 132837134601.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39533182 + ... + 39536541.

Almost surely, 2132837134640 is an apocalyptic number.

132837134640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132837134640 is an abundant number, since it is smaller than the sum of its proper divisors (337785862608).

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

132837134640 is a wasteful number, since it uses less digits than its factorization.

132837134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79069746 (or 79069740 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 132837134640 in words is "one hundred thirty-two billion, eight hundred thirty-seven million, one hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 79069723 158139446 237209169 316278892 395348615 474418338 553488061 632557784 790697230 948836676 1106976122 1186045845 1265115568 1581394460 1660464183 1897673352 2213952244 2372091690 2767440305 3162788920 3320928366 3795346704 4427904488 4744183380 5534880610 6325577840 6641856732 8302320915 8855808976 9488366760 11069761220 13283713464 16604641830 18976733520 22139522440 26567426928 33209283660 44279044880 66418567320 132837134640