152661264 has 120 divisors (see below), whose sum is σ = 468862848. Its totient is φ = 42658560.

The previous prime is 152661233. The next prime is 152661269. The reversal of 152661264 is 462166251.

Its product of digits (17280) is a multiple of the sum of its prime divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (152661269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109854 + ... + 111234.

Almost surely, 2^152661264 is an apocalyptic number.

152661264 is a gapful number since it is divisible by the number (14) 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 152661264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234431424).

152661264 is an abundant number, since it is smaller than the sum of its proper divisors (316201584).

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

152661264 is a wasteful number, since it uses less digits than its factorization.

152661264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1440 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 152661264 is about 12355.6166984898. The cubic root of 152661264 is about 534.4531215495.

The spelling of 152661264 in words is "one hundred fifty-two million, six hundred sixty-one thousand, two hundred sixty-four".