137565066266880 has 1152 divisors, whose sum is σ = 529808190750720. Its totient is φ = 29757599907840.

The previous prime is 137565066266863. The next prime is 137565066266917. The reversal of 137565066266880 is 88662660565731.

It is a super-2 number, since 2×137565066266880² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9275501065 + ... + 9275515895.

It is an arithmetic number, because the mean of its divisors is an integer number (459902943360).

Almost surely, 2^{137565066266880} is an apocalyptic number.

137565066266880 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 137565066266880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264904095375360).

137565066266880 is an abundant number, since it is smaller than the sum of its proper divisors (392243124483840).

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

137565066266880 is a wasteful number, since it uses less digits than its factorization.

137565066266880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15127 (or 15113 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 69.

The spelling of 137565066266880 in words is "one hundred thirty-seven trillion, five hundred sixty-five billion, sixty-six million, two hundred sixty-six thousand, eight hundred eighty".