137375888544 has 240 divisors, whose sum is σ = 408704522688. Its totient is φ = 45263950848.

The previous prime is 137375888543. The next prime is 137375888581. The reversal of 137375888544 is 445888573731.

It is a happy number.

137375888544 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 7 + 5 + 8 + 88 + 544 = 666.

137375888544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

Its product of digits (90316800) is a multiple of the sum of its prime divisors (1792).

It is not an unprimeable number, because it can be changed into a prime (137375888543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100493749 + ... + 100495115.

Almost surely, 2^137375888544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137375888544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204352261344).

137375888544 is an abundant number, since it is smaller than the sum of its proper divisors (271328634144).

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

137375888544 is a wasteful number, since it uses less digits than its factorization.

137375888544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1792 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 137375888544 in words is "one hundred thirty-seven billion, three hundred seventy-five million, eight hundred eighty-eight thousand, five hundred forty-four".