137440727424 has 2560 divisors, whose sum is σ = 627013094400. Its totient is φ = 28665446400.

The previous prime is 137440727309. The next prime is 137440727453. The reversal of 137440727424 is 424727044731.

137440727424 is a `hidden beast` number, since 1 + 374 + 4 + 0 + 7 + 274 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 137440727424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3352212844 + ... + 3352212884.

It is an arithmetic number, because the mean of its divisors is an integer number (244926990).

Almost surely, 2^137440727424 is an apocalyptic number.

137440727424 is a gapful number since it is divisible by the number (14) 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 137440727424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313506547200).

137440727424 is an abundant number, since it is smaller than the sum of its proper divisors (489572366976).

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

137440727424 is a wasteful number, since it uses less digits than its factorization.

137440727424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 137440727424 in words is "one hundred thirty-seven billion, four hundred forty million, seven hundred twenty-seven thousand, four hundred twenty-four".