1008135432 has 48 divisors (see below), whose sum is σ = 2764944000. Its totient is φ = 331789536.

The previous prime is 1008135409. The next prime is 1008135433. The reversal of 1008135432 is 2345318001.

It is a happy number.

1008135432 is a `hidden beast` number, since 100 + 8 + 13 + 543 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1008135396 and 1008135405.

It is not an unprimeable number, because it can be changed into a prime (1008135433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82932 + ... + 94307.

It is an arithmetic number, because the mean of its divisors is an integer number (57603000).

Almost surely, 2^1008135432 is an apocalyptic number.

1008135432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1008135432 is an abundant number, since it is smaller than the sum of its proper divisors (1756808568).

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

1008135432 is a wasteful number, since it uses less digits than its factorization.

1008135432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177330 (or 177323 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1008135432 is about 31751.1485146601. The cubic root of 1008135432 is about 1002.7044898078.

The spelling of 1008135432 in words is "one billion, eight million, one hundred thirty-five thousand, four hundred thirty-two".