137640361440 has 192 divisors, whose sum is σ = 454838146560. Its totient is φ = 34939054080.

The previous prime is 137640361423. The next prime is 137640361459. The reversal of 137640361440 is 44163046731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918687 + ... + 1057953.

It is an arithmetic number, because the mean of its divisors is an integer number (2368948680).

Almost surely, 2^137640361440 is an apocalyptic number.

137640361440 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 137640361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227419073280).

137640361440 is an abundant number, since it is smaller than the sum of its proper divisors (317197785120).

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

137640361440 is a wasteful number, since it uses less digits than its factorization.

137640361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139385 (or 139377 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 137640361440 in words is "one hundred thirty-seven billion, six hundred forty million, three hundred sixty-one thousand, four hundred forty".