153012564 has 30 divisors (see below), whose sum is σ = 400005914. Its totient is φ = 51004080.

The previous prime is 153012557. The next prime is 153012569. The reversal of 153012564 is 465210351.

153012564 is a `hidden beast` number, since 1 + 530 + 125 + 6 + 4 = 666.

153012564 is digitally balanced in base 3, 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 only one way, i.e., 82955664 + 70056900 = 9108^2 + 8370^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153012569) 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 9 ways as a sum of consecutive naturals, for example, 235807 + ... + 236454.

Almost surely, 2^153012564 is an apocalyptic number.

It is an amenable number.

153012564 is an abundant number, since it is smaller than the sum of its proper divisors (246993350).

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

153012564 is a wasteful number, since it uses less digits than its factorization.

153012564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472277 (or 472266 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 153012564 is about 12369.8247360260. The cubic root of 153012564 is about 534.8627638797.

The spelling of 153012564 in words is "one hundred fifty-three million, twelve thousand, five hundred sixty-four".