135235354433100 has 144 divisors (see below), whose sum is σ = 404999709088800. Its totient is φ = 34799750737920.

The previous prime is 135235354433063. The next prime is 135235354433189. The reversal of 135235354433100 is 1334453532531.

It is a super-2 number, since 2×135235354433100² (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, 11219892 + ... + 19908708.

Almost surely, 2^{135235354433100} is an apocalyptic number.

135235354433100 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 135235354433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202499854544400).

135235354433100 is an abundant number, since it is smaller than the sum of its proper divisors (269764354655700).

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

135235354433100 is a wasteful number, since it uses less digits than its factorization.

135235354433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690652 (or 8690645 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 42.

The spelling of 135235354433100 in words is "one hundred thirty-five trillion, two hundred thirty-five billion, three hundred fifty-four million, four hundred thirty-three thousand, one hundred".