137134747268160 has 112 divisors (see below), whose sum is σ = 435419821031616. Its totient is φ = 36567838246912.

The previous prime is 137134747268147. The next prime is 137134747268177. The reversal of 137134747268160 is 61862747431731.

137134747268160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 137134747268094 and 137134747268103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21928087 + ... + 27479273.

Almost surely, 2^{137134747268160} is an apocalyptic number.

137134747268160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137134747268160 is an abundant number, since it is smaller than the sum of its proper divisors (298285073763456).

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

137134747268160 is a wasteful number, since it uses less digits than its factorization.

137134747268160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5576940 (or 5576930 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 60.

The spelling of 137134747268160 in words is "one hundred thirty-seven trillion, one hundred thirty-four billion, seven hundred forty-seven million, two hundred sixty-eight thousand, one hundred sixty".