137274120 has 192 divisors, whose sum is σ = 475113600. Its totient is φ = 34298880.

The previous prime is 137274101. The next prime is 137274149. The reversal of 137274120 is 21472731.

It is a happy number.

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, 488380 + ... + 488660.

It is an arithmetic number, because the mean of its divisors is an integer number (2474550).

Almost surely, 2^137274120 is an apocalyptic number.

137274120 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 137274120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237556800).

137274120 is an abundant number, since it is smaller than the sum of its proper divisors (337839480).

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

137274120 is a wasteful number, since it uses less digits than its factorization.

137274120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 137274120 is about 11716.4038851518. The cubic root of 137274120 is about 515.8572707815.

The spelling of 137274120 in words is "one hundred thirty-seven million, two hundred seventy-four thousand, one hundred twenty".