137725895479680 has 1280 divisors, whose sum is σ = 522839347430400. Its totient is φ = 34474349150208.

The previous prime is 137725895479663. The next prime is 137725895479691. The reversal of 137725895479680 is 86974598527731.

137725895479680 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 2 + 5 + 8 + 9 + 547 + 9 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 137725895479680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 51142180414 + ... + 51142183106.

It is an arithmetic number, because the mean of its divisors is an integer number (408468240180).

It is a 1-persistent number, because it is pandigital, but 2⋅137725895479680 = 275451790959360 is not.

Almost surely, 2^{137725895479680} is an apocalyptic number.

137725895479680 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 137725895479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261419673715200).

137725895479680 is an abundant number, since it is smaller than the sum of its proper divisors (385113451950720).

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

137725895479680 is a wasteful number, since it uses less digits than its factorization.

137725895479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 6401203200, while the sum is 81.

The spelling of 137725895479680 in words is "one hundred thirty-seven trillion, seven hundred twenty-five billion, eight hundred ninety-five million, four hundred seventy-nine thousand, six hundred eighty".