137493240 has 64 divisors (see below), whose sum is σ = 415497600. Its totient is φ = 36396672.

The previous prime is 137493233. The next prime is 137493319. The reversal of 137493240 is 42394731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12559 + ... + 20801.

It is an arithmetic number, because the mean of its divisors is an integer number (6492150).

Almost surely, 2^137493240 is an apocalyptic number.

137493240 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 137493240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207748800).

137493240 is an abundant number, since it is smaller than the sum of its proper divisors (278004360).

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

137493240 is a wasteful number, since it uses less digits than its factorization.

137493240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396 (or 8392 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 137493240 is about 11725.7511486472. The cubic root of 137493240 is about 516.1315991489.

The spelling of 137493240 in words is "one hundred thirty-seven million, four hundred ninety-three thousand, two hundred forty".