137321510920 has 96 divisors (see below), whose sum is σ = 342979139160. Its totient is φ = 49440512000.

The previous prime is 137321510789. The next prime is 137321510923. The reversal of 137321510920 is 29015123731.

It can be written as a sum of positive squares in 4 ways, for example, as 137108759524 + 212751396 = 370282^2 + 14586^2 .

It is a super-2 number, since 2×137321510920² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (137321510923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348384 + ... + 629296.

Almost surely, 2^137321510920 is an apocalyptic number.

137321510920 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 137321510920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171489569580).

137321510920 is an abundant number, since it is smaller than the sum of its proper divisors (205657628240).

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

137321510920 is a wasteful number, since it uses less digits than its factorization.

137321510920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281047 (or 281032 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The spelling of 137321510920 in words is "one hundred thirty-seven billion, three hundred twenty-one million, five hundred ten thousand, nine hundred twenty".