135692928 has 256 divisors, whose sum is σ = 470016000. Its totient is φ = 37739520.

The previous prime is 135692923. The next prime is 135692941. The reversal of 135692928 is 829296531.

135692928 is a `hidden beast` number, since 1 + 356 + 9 + 292 + 8 = 666.

Its product of digits (233280) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (135692923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1717593 + ... + 1717671.

It is an arithmetic number, because the mean of its divisors is an integer number (1836000).

Almost surely, 2^135692928 is an apocalyptic number.

135692928 is a gapful number since it is divisible by the number (18) 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 135692928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

135692928 is an abundant number, since it is smaller than the sum of its proper divisors (334323072).

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

135692928 is an equidigital number, since it uses as much as digits as its factorization.

135692928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 162 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 135692928 is about 11648.7307463088. The cubic root of 135692928 is about 513.8689830443.

The spelling of 135692928 in words is "one hundred thirty-five million, six hundred ninety-two thousand, nine hundred twenty-eight".