137825761335584 has 48 divisors (see below), whose sum is σ = 310210956207936. Its totient is φ = 59048565676800.

The previous prime is 137825761335551. The next prime is 137825761335593. The reversal of 137825761335584 is 485533167528731.

It is a happy number.

It is a super-2 number, since 2×137825761335584² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101499827 + ... + 102848754.

It is an arithmetic number, because the mean of its divisors is an integer number (6462728254332).

Almost surely, 2^{137825761335584} is an apocalyptic number.

137825761335584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137825761335584 is an abundant number, since it is smaller than the sum of its proper divisors (172385194872352).

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

137825761335584 is a wasteful number, since it uses less digits than its factorization.

137825761335584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204351609 (or 204351601 counting only the distinct ones).

The product of its digits is 508032000, while the sum is 68.

The spelling of 137825761335584 in words is "one hundred thirty-seven trillion, eight hundred twenty-five billion, seven hundred sixty-one million, three hundred thirty-five thousand, five hundred eighty-four".