137812440 has 32 divisors (see below), whose sum is σ = 413437680. Its totient is φ = 36749952.

The previous prime is 137812403. The next prime is 137812447. The reversal of 137812440 is 44218731.

137812440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 137812398 and 137812407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137812447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 574099 + ... + 574338.

Almost surely, 2^137812440 is an apocalyptic number.

137812440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137812440 is an abundant number, since it is smaller than the sum of its proper divisors (275625240).

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

137812440 is a wasteful number, since it uses less digits than its factorization.

137812440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148451 (or 1148447 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 137812440 is about 11739.3543263674. The cubic root of 137812440 is about 516.5307021119.

The spelling of 137812440 in words is "one hundred thirty-seven million, eight hundred twelve thousand, four hundred forty".