137273130 has 96 divisors (see below), whose sum is σ = 392019264. Its totient is φ = 34442496.

The previous prime is 137273093. The next prime is 137273141. The reversal of 137273130 is 31372731.

137273130 is digitally balanced in base 2, 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 137273094 and 137273103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39649 + ... + 42971.

It is an arithmetic number, because the mean of its divisors is an integer number (4083534).

Almost surely, 2^137273130 is an apocalyptic number.

137273130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137273130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196009632).

137273130 is an abundant number, since it is smaller than the sum of its proper divisors (254746134).

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

137273130 is a wasteful number, since it uses less digits than its factorization.

137273130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 137273130 is about 11716.3616366174. The cubic root of 137273130 is about 515.8560306839.

The spelling of 137273130 in words is "one hundred thirty-seven million, two hundred seventy-three thousand, one hundred thirty".