137236769856 has 448 divisors, whose sum is σ = 452992296960. Its totient is φ = 40529756160.

The previous prime is 137236769851. The next prime is 137236769869. The reversal of 137236769856 is 658967632731.

137236769856 is a `hidden beast` number, since 137 + 2 + 367 + 6 + 98 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 137236769793 and 137236769802.

It is not an unprimeable number, because it can be changed into a prime (137236769851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33692236 + ... + 33696308.

It is an arithmetic number, because the mean of its divisors is an integer number (1011143520).

Almost surely, 2^137236769856 is an apocalyptic number.

137236769856 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 137236769856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226496148480).

137236769856 is an abundant number, since it is smaller than the sum of its proper divisors (315755527104).

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

137236769856 is a wasteful number, since it uses less digits than its factorization.

137236769856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4163 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 137236769856 in words is "one hundred thirty-seven billion, two hundred thirty-six million, seven hundred sixty-nine thousand, eight hundred fifty-six".