152160 has 48 divisors (see below), whose sum is σ = 480816. Its totient is φ = 40448.

The previous prime is 152147. The next prime is 152183. The reversal of 152160 is 61251.

152160 = 126² + 127² + ... + 134².

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322 + ... + 638.

It is an arithmetic number, because the mean of its divisors is an integer number (10017).

2¹⁵²¹⁶⁰ is an apocalyptic number.

152160 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 152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240408).

152160 is an abundant number, since it is smaller than the sum of its proper divisors (328656).

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

152160 is a wasteful number, since it uses less digits than its factorization.

152160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 152160 is about 390.0769154923. The cubic root of 152160 is about 53.3867520335.

Subtracting from 152160 its product of nonzero digits (60), we obtain a square (152100 = 390²).

Subtracting from 152160 its reverse (61251), we obtain a palindrome (90909).

It can be divided in two parts, 15 and 2160, that multiplied together give a square (32400 = 180²).

The spelling of 152160 in words is "one hundred fifty-two thousand, one hundred sixty".