137588475010700 has 144 divisors (see below), whose sum is σ = 341629357655040. Its totient is φ = 47116539924480.

The previous prime is 137588475010669. The next prime is 137588475010709. The reversal of 137588475010700 is 7010574885731.

It is a super-2 number, since 2×137588475010700² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137588475010709) 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 47 ways as a sum of consecutive naturals, for example, 3398652659 + ... + 3398693141.

Almost surely, 2^{137588475010700} is an apocalyptic number.

137588475010700 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 137588475010700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170814678827520).

137588475010700 is an abundant number, since it is smaller than the sum of its proper divisors (204040882644340).

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

137588475010700 is a wasteful number, since it uses less digits than its factorization.

137588475010700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46216 (or 46209 counting only the distinct ones).

The product of its (nonzero) digits is 6585600, while the sum is 56.

The spelling of 137588475010700 in words is "one hundred thirty-seven trillion, five hundred eighty-eight billion, four hundred seventy-five million, ten thousand, seven hundred".