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132134976 = 263471359
BaseRepresentation
bin1111110000000…
…11100001000000
3100012122011010000
413320003201000
5232311304401
621040040000
73163062111
oct770034100
9305564100
10132134976
116864aa66
1238303000
13214b549c
1413798208
15b901186
hex7e03840

132134976 has 140 divisors (see below), whose sum is σ = 398312640. Its totient is φ = 43303680.

The previous prime is 132134971. The next prime is 132135011. The reversal of 132134976 is 679431231.

It is a super-3 number, since 3×1321349763 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132134976.

It is not an unprimeable number, because it can be changed into a prime (132134971) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 367885 + ... + 368243.

Almost surely, 2132134976 is an apocalyptic number.

132134976 is a gapful number since it is divisible by the number (16) 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 132134976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199156320).

132134976 is an abundant number, since it is smaller than the sum of its proper divisors (266177664).

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

132134976 is an equidigital number, since it uses as much as digits as its factorization.

132134976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 435 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 132134976 is about 11494.9978686383. The cubic root of 132134976 is about 509.3378257388.

The spelling of 132134976 in words is "one hundred thirty-two million, one hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 142 144 162 192 213 216 284 288 324 359 426 432 568 576 639 648 718 852 864 1077 1136 1278 1296 1436 1704 1728 1917 2154 2272 2556 2592 2872 3231 3408 3834 4308 4544 5112 5184 5744 5751 6462 6816 7668 8616 9693 10224 11488 11502 12924 13632 15336 17232 19386 20448 22976 23004 25489 25848 29079 30672 34464 38772 40896 46008 50978 51696 58158 61344 68928 76467 77544 92016 101956 103392 116316 122688 152934 155088 184032 203912 206784 229401 232632 305868 310176 368064 407824 458802 465264 611736 620352 688203 815648 917604 930528 1223472 1376406 1631296 1835208 1861056 2064609 2446944 2752812 3670416 4129218 4893888 5505624 7340832 8258436 11011248 14681664 16516872 22022496 33033744 44044992 66067488 132134976