137197314974720 has 1408 divisors, whose sum is σ = 461448786677760. Its totient is φ = 37751637934080.

The previous prime is 137197314974653. The next prime is 137197314974747. The reversal of 137197314974720 is 27479413791731.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (65).

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, 15903243047 + ... + 15903251673.

Almost surely, 2^{137197314974720} is an apocalyptic number.

137197314974720 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 137197314974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230724393338880).

137197314974720 is an abundant number, since it is smaller than the sum of its proper divisors (324251471703040).

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

137197314974720 is a wasteful number, since it uses less digits than its factorization.

137197314974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 65.

The spelling of 137197314974720 in words is "one hundred thirty-seven trillion, one hundred ninety-seven billion, three hundred fourteen million, nine hundred seventy-four thousand, seven hundred twenty".