137165787758016 has 1120 divisors, whose sum is σ = 443097851074560. Its totient is φ = 41816985993216.

The previous prime is 137165787758011. The next prime is 137165787758053. The reversal of 137165787758016 is 610857787561731.

137165787758016 is a `hidden beast` number, since 1 + 37 + 1 + 6 + 5 + 7 + 8 + 7 + 7 + 580 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137165787758011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 137578522830 + ... + 137578523826.

Almost surely, 2^{137165787758016} is an apocalyptic number.

137165787758016 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 137165787758016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221548925537280).

137165787758016 is an abundant number, since it is smaller than the sum of its proper divisors (305932063316544).

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

137165787758016 is a wasteful number, since it uses less digits than its factorization.

137165787758016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 414892800, while the sum is 72.

The spelling of 137165787758016 in words is "one hundred thirty-seven trillion, one hundred sixty-five billion, seven hundred eighty-seven million, seven hundred fifty-eight thousand, sixteen".