137393830430208 has 800 divisors, whose sum is σ = 460478475803808. Its totient is φ = 40419075686400.

The previous prime is 137393830430179. The next prime is 137393830430209. The reversal of 137393830430208 is 802034038393731.

137393830430208 is a `hidden beast` number, since 1 + 3 + 7 + 393 + 8 + 3 + 0 + 43 + 0 + 208 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137393830430209) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7781258116 + ... + 7781275772.

Almost surely, 2^{137393830430208} is an apocalyptic number.

137393830430208 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 137393830430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230239237901904).

137393830430208 is an abundant number, since it is smaller than the sum of its proper divisors (323084645373600).

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

137393830430208 is a wasteful number, since it uses less digits than its factorization.

137393830430208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18196 (or 18171 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 137393830430208 in words is "one hundred thirty-seven trillion, three hundred ninety-three billion, eight hundred thirty million, four hundred thirty thousand, two hundred eight".