137772947744256 has 480 divisors, whose sum is σ = 408747962456064. Its totient is φ = 40895214796800.

The previous prime is 137772947744231. The next prime is 137772947744297. The reversal of 137772947744256 is 652447749277731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13372114401 + ... + 13372124703.

Almost surely, 2^{137772947744256} is an apocalyptic number.

137772947744256 is a gapful number since it is divisible by the number (16) 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 137772947744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204373981228032).

137772947744256 is an abundant number, since it is smaller than the sum of its proper divisors (270975014711808).

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

137772947744256 is a wasteful number, since it uses less digits than its factorization.

137772947744256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10634 (or 10547 counting only the distinct ones).

The product of its digits is 3485099520, while the sum is 75.

The spelling of 137772947744256 in words is "one hundred thirty-seven trillion, seven hundred seventy-two billion, nine hundred forty-seven million, seven hundred forty-four thousand, two hundred fifty-six".