137565984890880 has 1568 divisors, whose sum is σ = 609219278123904. Its totient is φ = 29024337788928.

The previous prime is 137565984890843. The next prime is 137565984890909. The reversal of 137565984890880 is 88098489565731.

137565984890880 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 6 + 59 + 8 + 489 + 0 + 8 + 80 = 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 137565984890880.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2717220127 + ... + 2717270753.

Almost surely, 2^{137565984890880} is an apocalyptic number.

137565984890880 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 137565984890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304609639061952).

137565984890880 is an abundant number, since it is smaller than the sum of its proper divisors (471653293233024).

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

137565984890880 is an frugal number, since it uses more digits than its factorization.

137565984890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50696 (or 50657 counting only the distinct ones).

The product of its (nonzero) digits is 4180377600, while the sum is 81.

The spelling of 137565984890880 in words is "one hundred thirty-seven trillion, five hundred sixty-five billion, nine hundred eighty-four million, eight hundred ninety thousand, eight hundred eighty".