152880 has 120 divisors (see below), whose sum is σ = 593712. Its totient is φ = 32256.

The previous prime is 152879. The next prime is 152897. The reversal of 152880 is 88251.

152880 = 53² + 54² + ... + 84².

It is a Cunningham number, because it is equal to 391²-1.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 152880.

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 23 ways as a sum of consecutive naturals, for example, 11754 + ... + 11766.

2¹⁵²⁸⁸⁰ is an apocalyptic number.

152880 is a gapful number since it is divisible by the number (10) 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 152880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856).

152880 is an abundant number, since it is smaller than the sum of its proper divisors (440832).

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

152880 is a wasteful number, since it uses less digits than its factorization.

152880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 152880 is about 390.9987212255. The cubic root of 152880 is about 53.4708257976.

The spelling of 152880 in words is "one hundred fifty-two thousand, eight hundred eighty".