88152 has 16 divisors (see below), whose sum is σ = 220440. Its totient is φ = 29376.

The previous prime is 88129. The next prime is 88169. The reversal of 88152 is 25188.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3673 = 88152 / (8 + 8 + 1 + 5 + 2).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88152.

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, 1813 + ... + 1860.

2⁸⁸¹⁵² is an apocalyptic number.

It is an amenable number.

88152 is an abundant number, since it is smaller than the sum of its proper divisors (132288).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110220).

88152 is a wasteful number, since it uses less digits than its factorization.

88152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 3678 counting only the distinct ones).

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

The square root of 88152 is about 296.9040248969. The cubic root of 88152 is about 44.5051965484.

The spelling of 88152 in words is "eighty-eight thousand, one hundred fifty-two".