88146 has 24 divisors (see below), whose sum is σ = 196560. Its totient is φ = 28536.

The previous prime is 88129. The next prime is 88169. The reversal of 88146 is 64188.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88146.

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 11 ways as a sum of consecutive naturals, for example, 1021 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2⁸⁸¹⁴⁶ is an apocalyptic number.

88146 is an abundant number, since it is smaller than the sum of its proper divisors (108414).

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 (98280).

88146 is a wasteful number, since it uses less digits than its factorization.

88146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 88146 is about 296.8939204497. The cubic root of 88146 is about 44.5041867878.

The spelling of 88146 in words is "eighty-eight thousand, one hundred forty-six".