137665127845440 has 448 divisors, whose sum is σ = 523573201670400. Its totient is φ = 33850298400768.

The previous prime is 137665127845433. The next prime is 137665127845457. The reversal of 137665127845440 is 44548721566731.

137665127845440 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 6 + 5 + 1 + 2 + 7 + 84 + 544 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103685619 + ... + 105004941.

It is an arithmetic number, because the mean of its divisors is an integer number (1168690182300).

Almost surely, 2^{137665127845440} is an apocalyptic number.

137665127845440 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 137665127845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261786600835200).

137665127845440 is an abundant number, since it is smaller than the sum of its proper divisors (385908073824960).

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

137665127845440 is a wasteful number, since it uses less digits than its factorization.

137665127845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320291 (or 1320275 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 137665127845440 in words is "one hundred thirty-seven trillion, six hundred sixty-five billion, one hundred twenty-seven million, eight hundred forty-five thousand, four hundred forty".