152327952 has 240 divisors, whose sum is σ = 525383040. Its totient is φ = 41803776.

The previous prime is 152327951. The next prime is 152327957. The reversal of 152327952 is 259723251.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (37800) is a multiple of the sum of its prime factors (252).

It is not an unprimeable number, because it can be changed into a prime (152327951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 789168 + ... + 789360.

It is an arithmetic number, because the mean of its divisors is an integer number (2189096).

Almost surely, 2^152327952 is an apocalyptic number.

152327952 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 152327952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262691520).

152327952 is an abundant number, since it is smaller than the sum of its proper divisors (373055088).

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

152327952 is a wasteful number, since it uses less digits than its factorization.

152327952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 152327952 is about 12342.1210494793. The cubic root of 152327952 is about 534.0638731828.

The spelling of 152327952 in words is "one hundred fifty-two million, three hundred twenty-seven thousand, nine hundred fifty-two".