87045156 has 144 divisors (see below), whose sum is σ = 264176640. Its totient is φ = 23855040.

The previous prime is 87045149. The next prime is 87045157. The reversal of 87045156 is 65154078.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 87045156.

It is not an unprimeable number, because it can be changed into a prime (87045157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172801 + ... + 173303.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^87045156 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 87045156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132088320).

87045156 is an abundant number, since it is smaller than the sum of its proper divisors (177131484).

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

87045156 is a wasteful number, since it uses less digits than its factorization.

87045156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 87045156 is about 9329.7993547557. The cubic root of 87045156 is about 443.1814111268.

The spelling of 87045156 in words is "eighty-seven million, forty-five thousand, one hundred fifty-six".