152976 has 20 divisors (see below), whose sum is σ = 395312. Its totient is φ = 50976.

The previous prime is 152959. The next prime is 152981. The reversal of 152976 is 679251.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152976.

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 3 ways as a sum of consecutive naturals, for example, 1546 + ... + 1641.

2¹⁵²⁹⁷⁶ is an apocalyptic number.

152976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152976 is an abundant number, since it is smaller than the sum of its proper divisors (242336).

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

152976 is a wasteful number, since it uses less digits than its factorization.

152976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3198 (or 3192 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 152976 is about 391.1214645094. The cubic root of 152976 is about 53.4820156747.

It can be divided in two parts, 152 and 976, that added together give a triangular number (1128 = T₄₇).

The spelling of 152976 in words is "one hundred fifty-two thousand, nine hundred seventy-six".