152564952 has 64 divisors (see below), whose sum is σ = 390912480. Its totient is φ = 49600512.

The previous prime is 152564947. The next prime is 152565019. The reversal of 152564952 is 259465251.

It is a super-3 number, since 3×152564952³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 152564952.

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, 352128 + ... + 352560.

Almost surely, 2^152564952 is an apocalyptic number.

152564952 is a gapful number since it is divisible by the number (12) 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 152564952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195456240).

152564952 is an abundant number, since it is smaller than the sum of its proper divisors (238347528).

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

152564952 is a wasteful number, since it uses less digits than its factorization.

152564952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The square root of 152564952 is about 12351.7185848772. The cubic root of 152564952 is about 534.3407047379.

The spelling of 152564952 in words is "one hundred fifty-two million, five hundred sixty-four thousand, nine hundred fifty-two".