137395440 has 400 divisors, whose sum is σ = 589837248. Its totient is φ = 28864512.

The previous prime is 137395439. The next prime is 137395477. The reversal of 137395440 is 44593731.

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 = 137395395 and 137395404.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 699 × 315 × 624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589564 + ... + 589796.

Almost surely, 2^137395440 is an apocalyptic number.

137395440 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 137395440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294918624).

137395440 is an abundant number, since it is smaller than the sum of its proper divisors (452441808).

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

137395440 is a wasteful number, since it uses less digits than its factorization.

137395440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 137395440 is about 11721.5800982632. The cubic root of 137395440 is about 516.0091939952.

The spelling of 137395440 in words is "one hundred thirty-seven million, three hundred ninety-five thousand, four hundred forty".