137880468601344 has 480 divisors, whose sum is σ = 475066466050176. Its totient is φ = 39106835251200.

The previous prime is 137880468601331. The next prime is 137880468601363. The reversal of 137880468601344 is 443106864088731.

137880468601344 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 80 + 468 + 60 + 1 + 34 + 4 = 666.

It is a super-2 number, since 2×137880468601344² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118737144 + ... + 119892744.

Almost surely, 2^{137880468601344} is an apocalyptic number.

137880468601344 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 137880468601344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237533233025088).

137880468601344 is an abundant number, since it is smaller than the sum of its proper divisors (337185997448832).

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

137880468601344 is an equidigital number, since it uses as much as digits as its factorization.

137880468601344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155778 (or 1155750 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 137880468601344 in words is "one hundred thirty-seven trillion, eight hundred eighty billion, four hundred sixty-eight million, six hundred one thousand, three hundred forty-four".