137677928256 has 224 divisors, whose sum is σ = 453478757760. Its totient is φ = 40592793600.

The previous prime is 137677928191. The next prime is 137677928257. The reversal of 137677928256 is 652829776731.

137677928256 is a `hidden beast` number, since 1 + 376 + 7 + 7 + 9 + 2 + 8 + 256 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137677928193 and 137677928202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137677928257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605416 + ... + 801176.

It is an arithmetic number, because the mean of its divisors is an integer number (2024458740).

Almost surely, 2^137677928256 is an apocalyptic number.

137677928256 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 137677928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226739378880).

137677928256 is an abundant number, since it is smaller than the sum of its proper divisors (315800829504).

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

137677928256 is a wasteful number, since it uses less digits than its factorization.

137677928256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195830 (or 195814 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 63.

The spelling of 137677928256 in words is "one hundred thirty-seven billion, six hundred seventy-seven million, nine hundred twenty-eight thousand, two hundred fifty-six".