137217069576048 has 160 divisors (see below), whose sum is σ = 443541362250240. Its totient is φ = 35512129889280.

The previous prime is 137217069576047. The next prime is 137217069576053. The reversal of 137217069576048 is 840675960712731.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a self number, because there is not a number n which added to its sum of digits gives 137217069576048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137217069576047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65990343 + ... + 68037926.

It is an arithmetic number, because the mean of its divisors is an integer number (2772133514064).

It is a 1-persistent number, because it is pandigital, but 2⋅137217069576048 = 274434139152096 is not.

Almost surely, 2^{137217069576048} is an apocalyptic number.

It is an amenable number.

137217069576048 is an abundant number, since it is smaller than the sum of its proper divisors (306324292674192).

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

137217069576048 is a wasteful number, since it uses less digits than its factorization.

137217069576048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134028575 (or 134028569 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 137217069576048 in words is "one hundred thirty-seven trillion, two hundred seventeen billion, sixty-nine million, five hundred seventy-six thousand, forty-eight".