137274240 has 256 divisors, whose sum is σ = 475891200. Its totient is φ = 33546240.

The previous prime is 137274239. The next prime is 137274283. The reversal of 137274240 is 42472731.

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

It is a junction number, because it is equal to n+sod(n) for n = 137274198 and 137274207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1933405 + ... + 1933475.

It is an arithmetic number, because the mean of its divisors is an integer number (1858950).

Almost surely, 2^137274240 is an apocalyptic number.

137274240 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 137274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237945600).

137274240 is an abundant number, since it is smaller than the sum of its proper divisors (338616960).

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

137274240 is a wasteful number, since it uses less digits than its factorization.

137274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 137274240 is about 11716.4090061759. The cubic root of 137274240 is about 515.8574210960.

The spelling of 137274240 in words is "one hundred thirty-seven million, two hundred seventy-four thousand, two hundred forty".