152952 has 16 divisors (see below), whose sum is σ = 382440. Its totient is φ = 50976.

The previous prime is 152947. The next prime is 152953. The reversal of 152952 is 259251.

152952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) 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 (24), and also a Moran number because the ratio is a prime number: 6373 = 152952 / (1 + 5 + 2 + 9 + 5 + 2).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152953) by changing a digit.

152952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3163 + ... + 3210.

2¹⁵²⁹⁵² is an apocalyptic number.

152952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152952 is an abundant number, since it is smaller than the sum of its proper divisors (229488).

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

152952 is a wasteful number, since it uses less digits than its factorization.

152952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6382 (or 6378 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 152952 is about 391.0907823000. The cubic root of 152952 is about 53.4792186444.

The spelling of 152952 in words is "one hundred fifty-two thousand, nine hundred fifty-two".