137312633033856 has 1280 divisors, whose sum is σ = 483571408320000. Its totient is φ = 38658000052224.

The previous prime is 137312633033831. The next prime is 137312633033921. The reversal of 137312633033856 is 658330336213731.

137312633033856 is a `hidden beast` number, since 1 + 3 + 73 + 1 + 263 + 303 + 3 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83880654670 + ... + 83880656306.

It is an arithmetic number, because the mean of its divisors is an integer number (377790162750).

Almost surely, 2^{137312633033856} is an apocalyptic number.

137312633033856 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 137312633033856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241785704160000).

137312633033856 is an abundant number, since it is smaller than the sum of its proper divisors (346258775286144).

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

137312633033856 is a wasteful number, since it uses less digits than its factorization.

137312633033856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 137312633033856 in words is "one hundred thirty-seven trillion, three hundred twelve billion, six hundred thirty-three million, thirty-three thousand, eight hundred fifty-six".