137809515700 has 144 divisors (see below), whose sum is σ = 324822960000. Its totient is φ = 50543718400.

The previous prime is 137809515661. The next prime is 137809515707. The reversal of 137809515700 is 7515908731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137809515707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91933551 + ... + 91935049.

It is an arithmetic number, because the mean of its divisors is an integer number (2255715000).

Almost surely, 2^137809515700 is an apocalyptic number.

137809515700 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 137809515700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162411480000).

137809515700 is an abundant number, since it is smaller than the sum of its proper divisors (187013444300).

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

137809515700 is a wasteful number, since it uses less digits than its factorization.

137809515700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 46.

The spelling of 137809515700 in words is "one hundred thirty-seven billion, eight hundred nine million, five hundred fifteen thousand, seven hundred".