152352 has 54 divisors (see below), whose sum is σ = 452907. Its totient is φ = 48576.

The previous prime is 152311. The next prime is 152363. The reversal of 152352 is 253251.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 76176 + 76176 = 276^2 + 276^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=276.

It is a super-2 number, since 2×152352² = 46422263808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6613 + ... + 6635.

152352 is a Friedman number, since it can be written as 552^(3-1)/2, using all its digits and the basic arithmetic operations.

2¹⁵²³⁵² is an apocalyptic number.

152352 is a gapful number since it is divisible by the number (12) 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 152352

152352 is an abundant number, since it is smaller than the sum of its proper divisors (300555).

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

152352 is a wasteful number, since it uses less digits than its factorization.

152352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its digits is 300, while the sum is 18.

The square root of 152352 is about 390.3229432150. The cubic root of 152352 is about 53.4091975909.

Multiplying 152352 by its sum of digits (18), we get a square (2742336 = 1656²).

152352 divided by its sum of digits (18) gives a square (8464 = 92²).

The spelling of 152352 in words is "one hundred fifty-two thousand, three hundred fifty-two".