137793934080 has 720 divisors, whose sum is σ = 566273030400. Its totient is φ = 31641477120.

The previous prime is 137793934073. The next prime is 137793934093. The reversal of 137793934080 is 80439397731.

It is a happy number.

137793934080 is a `hidden beast` number, since 137 + 7 + 9 + 393 + 40 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 21665941 + ... + 21672299.

It is an arithmetic number, because the mean of its divisors is an integer number (786490320).

Almost surely, 2^137793934080 is an apocalyptic number.

137793934080 is a gapful number since it is divisible by the number (10) 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 137793934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283136515200).

137793934080 is an abundant number, since it is smaller than the sum of its proper divisors (428479096320).

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

137793934080 is a wasteful number, since it uses less digits than its factorization.

137793934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 137793934080 in words is "one hundred thirty-seven billion, seven hundred ninety-three million, nine hundred thirty-four thousand, eighty".