137917440 has 264 divisors, whose sum is σ = 496241928. Its totient is φ = 35389440.

The previous prime is 137917427. The next prime is 137917457. The reversal of 137917440 is 44719731.

It can be written as a sum of positive squares in 4 ways, for example, as 746496 + 137170944 = 864^2 + 11712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 137917395 and 137917404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1889244 + ... + 1889316.

Almost surely, 2^137917440 is an apocalyptic number.

137917440 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 137917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248120964).

137917440 is an abundant number, since it is smaller than the sum of its proper divisors (358324488).

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

137917440 is a wasteful number, since it uses less digits than its factorization.

137917440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 137917440 is about 11743.8256117843. The cubic root of 137917440 is about 516.6618512674.

The spelling of 137917440 in words is "one hundred thirty-seven million, nine hundred seventeen thousand, four hundred forty".