137016440 has 64 divisors (see below), whose sum is σ = 338916960. Its totient is φ = 49438720.

The previous prime is 137016433. The next prime is 137016461. The reversal of 137016440 is 44610731.

137016440 = 1269² + 1270² + ... + 1348².

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, 59144 + ... + 61416.

Almost surely, 2^137016440 is an apocalyptic number.

137016440 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 137016440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169458480).

137016440 is an abundant number, since it is smaller than the sum of its proper divisors (201900520).

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

137016440 is a wasteful number, since it uses less digits than its factorization.

137016440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 137016440 is about 11705.4021716471. The cubic root of 137016440 is about 515.5342932698.

The spelling of 137016440 in words is "one hundred thirty-seven million, sixteen thousand, four hundred forty".