137964848256 has 384 divisors, whose sum is σ = 417739645440. Its totient is φ = 43655086080.

The previous prime is 137964848243. The next prime is 137964848303. The reversal of 137964848256 is 652848469731.

137964848256 is a `hidden beast` number, since 1 + 3 + 79 + 6 + 484 + 82 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×137964848256² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137964848193 and 137964848202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797484586 + ... + 797484758.

It is an arithmetic number, because the mean of its divisors is an integer number (1087863660).

Almost surely, 2^137964848256 is an apocalyptic number.

137964848256 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 137964848256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208869822720).

137964848256 is an abundant number, since it is smaller than the sum of its proper divisors (279774797184).

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

137964848256 is a wasteful number, since it uses less digits than its factorization.

137964848256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 137964848256 in words is "one hundred thirty-seven billion, nine hundred sixty-four million, eight hundred forty-eight thousand, two hundred fifty-six".