137676726880 has 576 divisors, whose sum is σ = 440820817920. Its totient is φ = 40061952000.

The previous prime is 137676726857. The next prime is 137676726893. The reversal of 137676726880 is 88627676731.

It is a happy number.

It is a super-2 number, since 2×137676726880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119614305 + ... + 119615455.

It is an arithmetic number, because the mean of its divisors is an integer number (765313920).

Almost surely, 2^137676726880 is an apocalyptic number.

137676726880 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 137676726880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220410408960).

137676726880 is an abundant number, since it is smaller than the sum of its proper divisors (303144091040).

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

137676726880 is a wasteful number, since it uses less digits than its factorization.

137676726880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 61.

The spelling of 137676726880 in words is "one hundred thirty-seven billion, six hundred seventy-six million, seven hundred twenty-six thousand, eight hundred eighty".