137704836096 has 264 divisors, whose sum is σ = 414671761920. Its totient is φ = 43958992896.

The previous prime is 137704836091. The next prime is 137704836103. The reversal of 137704836096 is 690638407731.

137704836096 is a `hidden beast` number, since 1 + 3 + 7 + 70 + 483 + 6 + 0 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (137704836091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33940500 + ... + 33944556.

Almost surely, 2^137704836096 is an apocalyptic number.

137704836096 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 137704836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207335880960).

137704836096 is an abundant number, since it is smaller than the sum of its proper divisors (276966925824).

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

137704836096 is a wasteful number, since it uses less digits than its factorization.

137704836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 137704836096 in words is "one hundred thirty-seven billion, seven hundred four million, eight hundred thirty-six thousand, ninety-six".