135434451140532 has 72 divisors (see below), whose sum is σ = 344666260955016. Its totient is φ = 44839911051264.

The previous prime is 135434451140519. The next prime is 135434451140557. The reversal of 135434451140532 is 235041154434531.

135434451140532 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 3 + 4 + 451 + 140 + 53 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 83004745161636 + 52429705978896 = 9110694^2 + 7240836^2 .

It is a super-2 number, since 2×135434451140532² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11896293 + ... + 20307404.

It is an arithmetic number, because the mean of its divisors is an integer number (4787031402153).

Almost surely, 2^{135434451140532} is an apocalyptic number.

135434451140532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135434451140532 is an abundant number, since it is smaller than the sum of its proper divisors (209231809814484).

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

135434451140532 is a wasteful number, since it uses less digits than its factorization.

135434451140532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32204497 (or 32204492 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 135434451140532 in words is "one hundred thirty-five trillion, four hundred thirty-four billion, four hundred fifty-one million, one hundred forty thousand, five hundred thirty-two".