137486138756880 has 320 divisors, whose sum is σ = 434231019936000. Its totient is φ = 35979082039296.

The previous prime is 137486138756873. The next prime is 137486138756891. The reversal of 137486138756880 is 88657831684731.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14575012644 + ... + 14575022076.

It is an arithmetic number, because the mean of its divisors is an integer number (1356971937300).

Almost surely, 2^{137486138756880} is an apocalyptic number.

137486138756880 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 137486138756880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217115509968000).

137486138756880 is an abundant number, since it is smaller than the sum of its proper divisors (296744881179120).

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

137486138756880 is a wasteful number, since it uses less digits than its factorization.

137486138756880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14586 (or 14580 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 75.

The spelling of 137486138756880 in words is "one hundred thirty-seven trillion, four hundred eighty-six billion, one hundred thirty-eight million, seven hundred fifty-six thousand, eight hundred eighty".