137294220 has 96 divisors (see below), whose sum is σ = 443520000. Its totient is φ = 31083264.

The previous prime is 137294173. The next prime is 137294231. The reversal of 137294220 is 22492731.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44281 + ... + 47279.

It is an arithmetic number, because the mean of its divisors is an integer number (4620000).

Almost surely, 2^137294220 is an apocalyptic number.

137294220 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 137294220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760000).

137294220 is an abundant number, since it is smaller than the sum of its proper divisors (306225780).

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

137294220 is a wasteful number, since it uses less digits than its factorization.

137294220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3125 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 137294220 is about 11717.2616254823. The cubic root of 137294220 is about 515.8824472317.

The spelling of 137294220 in words is "one hundred thirty-seven million, two hundred ninety-four thousand, two hundred twenty".