137828357404920 has 4608 divisors, whose sum is σ = 626174115840000. Its totient is φ = 26631722557440.

The previous prime is 137828357404909. The next prime is 137828357404937. The reversal of 137828357404920 is 29404753828731.

It is a happy number.

137828357404920 is a `hidden beast` number, since 1 + 3 + 7 + 82 + 83 + 57 + 404 + 9 + 20 = 666.

It is a super-2 number, since 2×137828357404920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 692604810981 + ... + 692604811179.

It is an arithmetic number, because the mean of its divisors is an integer number (135888480000).

Almost surely, 2^{137828357404920} is an apocalyptic number.

137828357404920 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 137828357404920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313087057920000).

137828357404920 is an abundant number, since it is smaller than the sum of its proper divisors (488345758435080).

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

137828357404920 is a wasteful number, since it uses less digits than its factorization.

137828357404920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 137828357404920 in words is "one hundred thirty-seven trillion, eight hundred twenty-eight billion, three hundred fifty-seven million, four hundred four thousand, nine hundred twenty".