137970609504 has 384 divisors, whose sum is σ = 461540524032. Its totient is φ = 35115171840.

The previous prime is 137970609499. The next prime is 137970609521. The reversal of 137970609504 is 405906079731.

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, 41048784 + ... + 41052144.

It is an arithmetic number, because the mean of its divisors is an integer number (1201928448).

Almost surely, 2^137970609504 is an apocalyptic number.

137970609504 is a gapful number since it is divisible by the number (14) 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 137970609504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230770262016).

137970609504 is an abundant number, since it is smaller than the sum of its proper divisors (323569914528).

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

137970609504 is a wasteful number, since it uses less digits than its factorization.

137970609504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 137970609504 in words is "one hundred thirty-seven billion, nine hundred seventy million, six hundred nine thousand, five hundred four".