135415512334512 has 120 divisors (see below), whose sum is σ = 392057602466400. Its totient is φ = 43580433275904.

The previous prime is 135415512334511. The next prime is 135415512334519. The reversal of 135415512334512 is 215433215514531.

135415512334512 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 1 + 5 + 5 + 123 + 3 + 4 + 512 = 666.

It is a super-2 number, since 2×135415512334512² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135415512334511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118191148 + ... + 119331380.

It is an arithmetic number, because the mean of its divisors is an integer number (3267146687220).

Almost surely, 2^{135415512334512} is an apocalyptic number.

135415512334512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135415512334512 is an abundant number, since it is smaller than the sum of its proper divisors (256642090131888).

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

135415512334512 is a wasteful number, since it uses less digits than its factorization.

135415512334512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168715 (or 1168706 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The spelling of 135415512334512 in words is "one hundred thirty-five trillion, four hundred fifteen billion, five hundred twelve million, three hundred thirty-four thousand, five hundred twelve".