138587232000 has 576 divisors, whose sum is σ = 528712224768. Its totient is φ = 31518720000.

The previous prime is 138587231947. The next prime is 138587232013. The reversal of 138587232000 is 232785831.

It is a self number, because there is not a number n which added to its sum of digits gives 138587232000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182111620 + ... + 182112380.

It is an arithmetic number, because the mean of its divisors is an integer number (917903168).

Almost surely, 2^138587232000 is an apocalyptic number.

138587232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138587232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264356112384).

138587232000 is an abundant number, since it is smaller than the sum of its proper divisors (390124992768).

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

138587232000 is an equidigital number, since it uses as much as digits as its factorization.

138587232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 138587232000 in words is "one hundred thirty-eight billion, five hundred eighty-seven million, two hundred thirty-two thousand".