152520 has 64 divisors (see below), whose sum is σ = 483840. Its totient is φ = 38400.

The previous prime is 152519. The next prime is 152531. The reversal of 152520 is 25251.

152520 = T₁₃₀ + T₁₃₁ + ... + T₁₄₅.

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 152520.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 152520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3700 + ... + 3740.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2¹⁵²⁵²⁰ is an apocalyptic number.

152520 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 152520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

152520 is an abundant number, since it is smaller than the sum of its proper divisors (331320).

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

152520 is a wasteful number, since it uses less digits than its factorization.

152520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 152520 is about 390.5380903318. The cubic root of 152520 is about 53.4288219895.

Adding to 152520 its reverse (25251), we get a palindrome (177771).

The spelling of 152520 in words is "one hundred fifty-two thousand, five hundred twenty".