87126156 has 144 divisors (see below), whose sum is σ = 257572224. Its totient is φ = 24588288.

The previous prime is 87126133. The next prime is 87126161. The reversal of 87126156 is 65162178.

It is a hoax number, since the sum of its digits (36) 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 (36).

Its product of digits (20160) is a multiple of the sum of its prime divisors (315).

It is a self number, because there is not a number n which added to its sum of digits gives 87126156.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373816 + ... + 374048.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696).

Almost surely, 2^87126156 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 87126156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112).

87126156 is an abundant number, since it is smaller than the sum of its proper divisors (170446068).

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

87126156 is a wasteful number, since it uses less digits than its factorization.

87126156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 315 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 87126156 is about 9334.1392747269. The cubic root of 87126156 is about 443.3188362167.

The spelling of 87126156 in words is "eighty-seven million, one hundred twenty-six thousand, one hundred fifty-six".