137044332380160 has 1472 divisors, whose sum is σ = 539233079731200. Its totient is φ = 32846836137984.

The previous prime is 137044332380093. The next prime is 137044332380213. The reversal of 137044332380160 is 61083233440731.

137044332380160 is a `hidden beast` number, since 1 + 3 + 70 + 4 + 43 + 3 + 2 + 380 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1472).

It is a super-2 number, since 2×137044332380160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221396336331 + ... + 221396336949.

Almost surely, 2^{137044332380160} is an apocalyptic number.

137044332380160 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 137044332380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269616539865600).

137044332380160 is an abundant number, since it is smaller than the sum of its proper divisors (402188747351040).

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

137044332380160 is an frugal number, since it uses more digits than its factorization.

137044332380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 137044332380160 in words is "one hundred thirty-seven trillion, forty-four billion, three hundred thirty-two million, three hundred eighty thousand, one hundred sixty".