137708297856 has 256 divisors, whose sum is σ = 418440556800. Its totient is φ = 44552540160.

The previous prime is 137708297849. The next prime is 137708297879. The reversal of 137708297856 is 658792807731.

It is a junction number, because it is equal to n+sod(n) for n = 137708297793 and 137708297802.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64318546 + ... + 64320686.

It is an arithmetic number, because the mean of its divisors is an integer number (1634533425).

Almost surely, 2^137708297856 is an apocalyptic number.

137708297856 is a gapful number since it is divisible by the number (16) 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 137708297856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209220278400).

137708297856 is an abundant number, since it is smaller than the sum of its proper divisors (280732258944).

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

137708297856 is a wasteful number, since it uses less digits than its factorization.

137708297856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 137708297856 in words is "one hundred thirty-seven billion, seven hundred eight million, two hundred ninety-seven thousand, eight hundred fifty-six".