152964 has 36 divisors (see below), whose sum is σ = 442624. Its totient is φ = 43632.

The previous prime is 152959. The next prime is 152981. The reversal of 152964 is 469251.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152964.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52 + ... + 555.

2¹⁵²⁹⁶⁴ is an apocalyptic number.

152964 is a gapful number since it is divisible by the number (14) 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 152964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221312).

152964 is an abundant number, since it is smaller than the sum of its proper divisors (289660).

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

152964 is a wasteful number, since it uses less digits than its factorization.

152964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 619 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 152964 is about 391.1061237056. The cubic root of 152964 is about 53.4806171961.

The spelling of 152964 in words is "one hundred fifty-two thousand, nine hundred sixty-four".