137623916808 has 128 divisors (see below), whose sum is σ = 437293728000. Its totient is φ = 39285803520.

The previous prime is 137623916783. The next prime is 137623916827. The reversal of 137623916808 is 808619326731.

137623916808 is a `hidden beast` number, since 1 + 3 + 7 + 623 + 9 + 1 + 6 + 8 + 0 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1666738 + ... + 1747358.

It is an arithmetic number, because the mean of its divisors is an integer number (3416357250).

Almost surely, 2^137623916808 is an apocalyptic number.

137623916808 is a gapful number since it is divisible by the number (18) 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 137623916808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218646864000).

137623916808 is an abundant number, since it is smaller than the sum of its proper divisors (299669811192).

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

137623916808 is a wasteful number, since it uses less digits than its factorization.

137623916808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81772 (or 81762 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 137623916808 in words is "one hundred thirty-seven billion, six hundred twenty-three million, nine hundred sixteen thousand, eight hundred eight".