137143172514816 has 2816 divisors, whose sum is σ = 495012155904000. Its totient is φ = 37099457740800.

The previous prime is 137143172514769. The next prime is 137143172514839. The reversal of 137143172514816 is 618415271341731.

137143172514816 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 43 + 1 + 7 + 2 + 514 + 81 + 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 255 ways as a sum of consecutive naturals, for example, 1357853193166 + ... + 1357853193266.

Almost surely, 2^{137143172514816} is an apocalyptic number.

137143172514816 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 137143172514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247506077952000).

137143172514816 is an abundant number, since it is smaller than the sum of its proper divisors (357868983389184).

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

137143172514816 is a wasteful number, since it uses less digits than its factorization.

137143172514816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 341 counting only the distinct ones).

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

The spelling of 137143172514816 in words is "one hundred thirty-seven trillion, one hundred forty-three billion, one hundred seventy-two million, five hundred fourteen thousand, eight hundred sixteen".