137819473242696 has 192 divisors, whose sum is σ = 445194452102400. Its totient is φ = 37659598631424.

The previous prime is 137819473242667. The next prime is 137819473242761. The reversal of 137819473242696 is 696242374918731.

137819473242696 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 194 + 7 + 3 + 2 + 426 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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, 81102910 + ... + 82784786.

It is an arithmetic number, because the mean of its divisors is an integer number (2318721104700).

Almost surely, 2^{137819473242696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137819473242696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222597226051200).

137819473242696 is an abundant number, since it is smaller than the sum of its proper divisors (307374978859704).

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

137819473242696 is a wasteful number, since it uses less digits than its factorization.

137819473242696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688988 (or 1688981 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 72.

The spelling of 137819473242696 in words is "one hundred thirty-seven trillion, eight hundred nineteen billion, four hundred seventy-three million, two hundred forty-two thousand, six hundred ninety-six".