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135132928 = 287731033
BaseRepresentation
bin10000000110111…
…11011100000000
3100102021110112021
420003133130000
5234043223203
621224211224
73230416360
oct1003373400
9312243467
10135132928
116a308407
1239309b14
1321cc4c18
1413d389a0
15bce45bd
hex80df700

135132928 has 72 divisors (see below), whose sum is σ = 312797408. Its totient is φ = 57065472.

The previous prime is 135132911. The next prime is 135132929. The reversal of 135132928 is 829231531.

It is a junction number, because it is equal to n+sod(n) for n = 135132893 and 135132902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135132929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130300 + ... + 131332.

Almost surely, 2135132928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156398704).

135132928 is an abundant number, since it is smaller than the sum of its proper divisors (177664480).

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

135132928 is an equidigital number, since it uses as much as digits as its factorization.

135132928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1115 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 135132928 is about 11624.6689415226. The cubic root of 135132928 is about 513.1611018685.

The spelling of 135132928 in words is "one hundred thirty-five million, one hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 224 256 292 448 511 584 896 1022 1033 1168 1792 2044 2066 2336 4088 4132 4672 7231 8176 8264 9344 14462 16352 16528 18688 28924 32704 33056 57848 65408 66112 75409 115696 130816 132224 150818 231392 264448 301636 462784 527863 603272 925568 1055726 1206544 1851136 2111452 2413088 4222904 4826176 8445808 9652352 16891616 19304704 33783232 67566464 135132928