87124138290 has 192 divisors, whose sum is σ = 268877905920. Its totient is φ = 19159655040.

The previous prime is 87124138267. The next prime is 87124138313. The reversal of 87124138290 is 9283142178.

It is a happy number.

87124138290 is a `hidden beast` number, since 8 + 71 + 2 + 413 + 82 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (87124138267) and next prime (87124138313).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1722055 + ... + 1771925.

It is an arithmetic number, because the mean of its divisors is an integer number (1400405760).

Almost surely, 2^87124138290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87124138290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134438952960).

87124138290 is an abundant number, since it is smaller than the sum of its proper divisors (181753767630).

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

87124138290 is a wasteful number, since it uses less digits than its factorization.

87124138290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49997 (or 49994 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 87124138290 in words is "eighty-seven billion, one hundred twenty-four million, one hundred thirty-eight thousand, two hundred ninety".