137238970452480 has 960 divisors, whose sum is σ = 516505821511680. Its totient is φ = 33675728486400.

The previous prime is 137238970452431. The next prime is 137238970452523. The reversal of 137238970452480 is 84254079832731.

It is a happy number.

137238970452480 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 3 + 89 + 70 + 4 + 5 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16754845185 + ... + 16754853375.

It is an arithmetic number, because the mean of its divisors is an integer number (538026897408).

Almost surely, 2^{137238970452480} is an apocalyptic number.

137238970452480 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 137238970452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258252910755840).

137238970452480 is an abundant number, since it is smaller than the sum of its proper divisors (379266851059200).

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

137238970452480 is an equidigital number, since it uses as much as digits as its factorization.

137238970452480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8590 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 137238970452480 in words is "one hundred thirty-seven trillion, two hundred thirty-eight billion, nine hundred seventy million, four hundred fifty-two thousand, four hundred eighty".