137828469073920 has 192 divisors, whose sum is σ = 441214598784960. Its totient is φ = 36731654897664.

The previous prime is 137828469073913. The next prime is 137828469073931. The reversal of 137828469073920 is 29370964828731.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48602644 + ... + 51360236.

It is an arithmetic number, because the mean of its divisors is an integer number (2297992702005).

Almost surely, 2^{137828469073920} is an apocalyptic number.

137828469073920 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 137828469073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220607299392480).

137828469073920 is an abundant number, since it is smaller than the sum of its proper divisors (303386129711040).

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

137828469073920 is a wasteful number, since it uses less digits than its factorization.

137828469073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759250 (or 2759230 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 69.

The spelling of 137828469073920 in words is "one hundred thirty-seven trillion, eight hundred twenty-eight billion, four hundred sixty-nine million, seventy-three thousand, nine hundred twenty".