152642952 has 144 divisors (see below), whose sum is σ = 519529920. Its totient is φ = 39631680.

The previous prime is 152642947. The next prime is 152642953. The reversal of 152642952 is 259246251.

152642952 is a `hidden beast` number, since 1 + 5 + 2 + 642 + 9 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (152642953) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59733 + ... + 62235.

Almost surely, 2^152642952 is an apocalyptic number.

152642952 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 152642952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259764960).

152642952 is an abundant number, since it is smaller than the sum of its proper divisors (366886968).

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

152642952 is a wasteful number, since it uses less digits than its factorization.

152642952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2526 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 152642952 is about 12354.8756367679. The cubic root of 152642952 is about 534.4317511493.

The spelling of 152642952 in words is "one hundred fifty-two million, six hundred forty-two thousand, nine hundred fifty-two".