135372624023880 has 192 divisors, whose sum is σ = 457468312204800. Its totient is φ = 34679871267840.

The previous prime is 135372624023863. The next prime is 135372624023909. The reversal of 135372624023880 is 88320426273531.

135372624023880 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 7 + 2 + 624 + 0 + 2 + 3 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×135372624023880² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42741750 + ... + 45799589.

It is an arithmetic number, because the mean of its divisors is an integer number (2382647459400).

Almost surely, 2^{135372624023880} is an apocalyptic number.

135372624023880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135372624023880 is an abundant number, since it is smaller than the sum of its proper divisors (322095688180920).

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

135372624023880 is a wasteful number, since it uses less digits than its factorization.

135372624023880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88541524 (or 88541517 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 135372624023880 in words is "one hundred thirty-five trillion, three hundred seventy-two billion, six hundred twenty-four million, twenty-three thousand, eight hundred eighty".