152635680 has 72 divisors (see below), whose sum is σ = 520874172. Its totient is φ = 40702464.

The previous prime is 152635669. The next prime is 152635687. The reversal of 152635680 is 86536251.

152635680 is a `hidden beast` number, since 1 + 526 + 3 + 56 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149523984 + 3111696 = 12228^2 + 1764^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (152635687) 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, 51559 + ... + 54438.

Almost surely, 2^152635680 is an apocalyptic number.

152635680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152635680 is an abundant number, since it is smaller than the sum of its proper divisors (368238492).

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

152635680 is a wasteful number, since it uses less digits than its factorization.

152635680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106018 (or 106007 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 152635680 is about 12354.5813364921. The cubic root of 152635680 is about 534.4232641336.

The spelling of 152635680 in words is "one hundred fifty-two million, six hundred thirty-five thousand, six hundred eighty".