152727264 has 36 divisors (see below), whose sum is σ = 434318976. Its totient is φ = 50908992.

The previous prime is 152727259. The next prime is 152727277. The reversal of 152727264 is 462727251.

It is a happy number.

152727264 is a `hidden beast` number, since 1 + 527 + 2 + 72 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 264864 + ... + 265439.

It is an arithmetic number, because the mean of its divisors is an integer number (12064416).

Almost surely, 2^152727264 is an apocalyptic number.

It is an amenable number.

152727264 is an abundant number, since it is smaller than the sum of its proper divisors (281591712).

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

152727264 is a wasteful number, since it uses less digits than its factorization.

152727264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530319 (or 530308 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 152727264 is about 12358.2872599726. The cubic root of 152727264 is about 534.5301304405.

152727264 divided by its sum of digits (36) gives a palindrome (4242424).

The spelling of 152727264 in words is "one hundred fifty-two million, seven hundred twenty-seven thousand, two hundred sixty-four".