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135130932 = 223218612017
BaseRepresentation
bin10000000110111…
…10111100110100
3100102021100210100
420003132330310
5234043142212
621224154100
73230410506
oct1003367464
9312240710
10135130932
116a306962
1239308930
1321cc4041
1413d37d76
15bce3bdc
hex80def34

135130932 has 36 divisors (see below), whose sum is σ = 341933956. Its totient is φ = 44997120.

The previous prime is 135130927. The next prime is 135130979. The reversal of 135130932 is 239031531.

It is a happy number.

135130932 is a `hidden beast` number, since 1 + 351 + 309 + 3 + 2 = 666.

135130932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 43086096 + 92044836 = 6564^2 + 9594^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 135130896 and 135130905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65988 + ... + 68004.

Almost surely, 2135130932 is an apocalyptic number.

135130932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135130932 is an abundant number, since it is smaller than the sum of its proper divisors (206803024).

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

135130932 is a wasteful number, since it uses less digits than its factorization.

135130932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 135130932 is about 11624.5830892983. The cubic root of 135130932 is about 513.1585752832.

The spelling of 135130932 in words is "one hundred thirty-five million, one hundred thirty thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1861 2017 3722 4034 5583 6051 7444 8068 11166 12102 16749 18153 22332 24204 33498 36306 66996 72612 3753637 7507274 11260911 15014548 22521822 33782733 45043644 67565466 135130932