137093160 has 128 divisors (see below), whose sum is σ = 429235200. Its totient is φ = 34990080.

The previous prime is 137093149. The next prime is 137093161. The reversal of 137093160 is 61390731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (137093161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509506 + ... + 509774.

It is an arithmetic number, because the mean of its divisors is an integer number (3353400).

Almost surely, 2^137093160 is an apocalyptic number.

137093160 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 137093160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214617600).

137093160 is an abundant number, since it is smaller than the sum of its proper divisors (292142040).

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

137093160 is a wasteful number, since it uses less digits than its factorization.

137093160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 30.

The square root of 137093160 is about 11708.6788323875. The cubic root of 137093160 is about 515.6304968376.

The spelling of 137093160 in words is "one hundred thirty-seven million, ninety-three thousand, one hundred sixty".