137137160160 has 2160 divisors, whose sum is σ = 676544055264. Its totient is φ = 25455513600.

The previous prime is 137137160143. The next prime is 137137160161. The reversal of 137137160160 is 61061731731.

It is a happy number.

137137160160 is a `hidden beast` number, since 1 + 3 + 71 + 371 + 60 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137137160161) 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 359 ways as a sum of consecutive naturals, for example, 4423779345 + ... + 4423779375.

Almost surely, 2^137137160160 is an apocalyptic number.

137137160160 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 137137160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338272027632).

137137160160 is an abundant number, since it is smaller than the sum of its proper divisors (539406895104).

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

137137160160 is a wasteful number, since it uses less digits than its factorization.

137137160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Adding to 137137160160 its reverse (61061731731), we get a palindrome (198198891891).

The spelling of 137137160160 in words is "one hundred thirty-seven billion, one hundred thirty-seven million, one hundred sixty thousand, one hundred sixty".