135873404928 has 84 divisors (see below), whose sum is σ = 392499425058. Its totient is φ = 45291110400.

The previous prime is 135873404921. The next prime is 135873404929. The reversal of 135873404928 is 829404378531.

It is a happy number.

135873404928 is a `hidden beast` number, since 1 + 3 + 587 + 34 + 0 + 4 + 9 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103921127424 + 31952277504 = 322368^2 + 178752^2 .

It is a super-3 number, since 3×135873404928³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (135873404921) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 847723 + ... + 995178.

Almost surely, 2^135873404928 is an apocalyptic number.

135873404928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135873404928 is an abundant number, since it is smaller than the sum of its proper divisors (256626020130).

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

135873404928 is an equidigital number, since it uses as much as digits as its factorization.

135873404928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842933 (or 1842906 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 135873404928 in words is "one hundred thirty-five billion, eight hundred seventy-three million, four hundred four thousand, nine hundred twenty-eight".