135902952 has 48 divisors (see below), whose sum is σ = 384078240. Its totient is φ = 43330848.

The previous prime is 135902939. The next prime is 135902959. The reversal of 135902952 is 259209531.

It is a happy number.

135902952 is a `hidden beast` number, since 13 + 590 + 2 + 9 + 52 = 666.

It is a super-2 number, since 2×135902952² = 36939224724628608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135902959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39378 + ... + 42689.

It is an arithmetic number, because the mean of its divisors is an integer number (8001630).

Almost surely, 2^135902952 is an apocalyptic number.

135902952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135902952 is an abundant number, since it is smaller than the sum of its proper divisors (248175288).

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

135902952 is a wasteful number, since it uses less digits than its factorization.

135902952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82102 (or 82095 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 135902952 is about 11657.7421484608. The cubic root of 135902952 is about 514.1339666046.

The spelling of 135902952 in words is "one hundred thirty-five million, nine hundred two thousand, nine hundred fifty-two".