137989377792000 has 1536 divisors, whose sum is σ = 590046450739200. Its totient is φ = 31159517184000.

The previous prime is 137989377791963. The next prime is 137989377792017. The reversal of 137989377792000 is 297773989731.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 137989377792000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4015854820 + ... + 4015889180.

It is an arithmetic number, because the mean of its divisors is an integer number (384144824700).

Almost surely, 2^{137989377792000} is an apocalyptic number.

137989377792000 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 137989377792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295023225369600).

137989377792000 is an abundant number, since it is smaller than the sum of its proper divisors (452057072947200).

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

137989377792000 is an equidigital number, since it uses as much as digits as its factorization.

137989377792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34497 (or 34461 counting only the distinct ones).

The product of its (nonzero) digits is 252047376, while the sum is 72.

The spelling of 137989377792000 in words is "one hundred thirty-seven trillion, nine hundred eighty-nine billion, three hundred seventy-seven million, seven hundred ninety-two thousand".