88140 has 48 divisors (see below), whose sum is σ = 268128. Its totient is φ = 21504.

The previous prime is 88129. The next prime is 88169. The reversal of 88140 is 4188.

88140 = T₆₉ + T₇₀ + ... + T₉₄.

88140 = 26² + 27² + ... + 65².

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88140.

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 15 ways as a sum of consecutive naturals, for example, 724 + ... + 836.

It is an arithmetic number, because the mean of its divisors is an integer number (5586).

2⁸⁸¹⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134064).

88140 is an abundant number, since it is smaller than the sum of its proper divisors (179988).

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

88140 is a wasteful number, since it uses less digits than its factorization.

88140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 88140 is about 296.8838156586. The cubic root of 88140 is about 44.5031769814.

The spelling of 88140 in words is "eighty-eight thousand, one hundred forty".