137116668528 has 240 divisors, whose sum is σ = 470235617280. Its totient is φ = 36404619264.

The previous prime is 137116668499. The next prime is 137116668551. The reversal of 137116668528 is 825866611731.

It is a happy number.

137116668528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1303101 + ... + 1404387.

It is an arithmetic number, because the mean of its divisors is an integer number (1959315072).

Almost surely, 2^137116668528 is an apocalyptic number.

137116668528 is a gapful number since it is divisible by the number (18) 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 137116668528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235117808640).

137116668528 is an abundant number, since it is smaller than the sum of its proper divisors (333118948752).

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

137116668528 is a wasteful number, since it uses less digits than its factorization.

137116668528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101404 (or 101395 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 137116668528 in words is "one hundred thirty-seven billion, one hundred sixteen million, six hundred sixty-eight thousand, five hundred twenty-eight".