137415108096 has 480 divisors, whose sum is σ = 475945037568. Its totient is φ = 38768025600.

The previous prime is 137415108049. The next prime is 137415108119. The reversal of 137415108096 is 690801514731.

137415108096 is a `hidden beast` number, since 1 + 3 + 7 + 41 + 510 + 8 + 0 + 96 = 666.

It is a super-3 number, since 3×137415108096³ (a number of 34 digits) contains 333 as substring.

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, 72284746 + ... + 72286646.

Almost surely, 2^137415108096 is an apocalyptic number.

137415108096 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 137415108096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237972518784).

137415108096 is an abundant number, since it is smaller than the sum of its proper divisors (338529929472).

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

137415108096 is an frugal number, since it uses more digits than its factorization.

137415108096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 137415108096 in words is "one hundred thirty-seven billion, four hundred fifteen million, one hundred eight thousand, ninety-six".