137965735165440 has 2560 divisors, whose sum is σ = 592928490147840. Its totient is φ = 26538342875136.

The previous prime is 137965735165399. The next prime is 137965735165483. The reversal of 137965735165440 is 44561537569731.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 124405531606 + ... + 124405532714.

It is an arithmetic number, because the mean of its divisors is an integer number (231612691464).

Almost surely, 2^{137965735165440} is an apocalyptic number.

137965735165440 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 137965735165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296464245073920).

137965735165440 is an abundant number, since it is smaller than the sum of its proper divisors (454962754982400).

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

137965735165440 is a wasteful number, since it uses less digits than its factorization.

137965735165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 285768000, while the sum is 66.

The spelling of 137965735165440 in words is "one hundred thirty-seven trillion, nine hundred sixty-five billion, seven hundred thirty-five million, one hundred sixty-five thousand, four hundred forty".