137001801743856 has 80 divisors (see below), whose sum is σ = 449423899910400. Its totient is φ = 39143371925952.

The previous prime is 137001801743827. The next prime is 137001801743881. The reversal of 137001801743856 is 658347108100731.

137001801743856 is a `hidden beast` number, since 1 + 3 + 70 + 0 + 1 + 80 + 17 + 438 + 56 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22652411286 + ... + 22652417333.

It is an arithmetic number, because the mean of its divisors is an integer number (5617798748880).

Almost surely, 2^{137001801743856} is an apocalyptic number.

137001801743856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137001801743856 is an abundant number, since it is smaller than the sum of its proper divisors (312422098166544).

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

137001801743856 is a wasteful number, since it uses less digits than its factorization.

137001801743856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45304828643 (or 45304828631 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 137001801743856 in words is "one hundred thirty-seven trillion, one billion, eight hundred one million, seven hundred forty-three thousand, eight hundred fifty-six".