137660408496 has 400 divisors, whose sum is σ = 474093031104. Its totient is φ = 38130352128.

The previous prime is 137660408453. The next prime is 137660408539. The reversal of 137660408496 is 694804066731.

137660408496 is a `hidden beast` number, since 137 + 6 + 60 + 408 + 49 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (137660408453) and next prime (137660408539).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6577120 + ... + 6598016.

Almost surely, 2^137660408496 is an apocalyptic number.

137660408496 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 137660408496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237046515552).

137660408496 is an abundant number, since it is smaller than the sum of its proper divisors (336432622608).

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

137660408496 is a wasteful number, since it uses less digits than its factorization.

137660408496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20970 (or 20955 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 137660408496 in words is "one hundred thirty-seven billion, six hundred sixty million, four hundred eight thousand, four hundred ninety-six".