152265984 has 144 divisors (see below), whose sum is σ = 443662464. Its totient is φ = 46080000.

The previous prime is 152265973. The next prime is 152266007. The reversal of 152265984 is 489562251.

Its product of digits (172800) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1008309 + ... + 1008459.

Almost surely, 2^152265984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152265984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221831232).

152265984 is an abundant number, since it is smaller than the sum of its proper divisors (291396480).

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

152265984 is a wasteful number, since it uses less digits than its factorization.

152265984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 152265984 is about 12339.6103666202. The cubic root of 152265984 is about 533.9914431431.

The spelling of 152265984 in words is "one hundred fifty-two million, two hundred sixty-five thousand, nine hundred eighty-four".