135361512 has 96 divisors (see below), whose sum is σ = 430728480. Its totient is φ = 37860480.

The previous prime is 135361511. The next prime is 135361537. The reversal of 135361512 is 215163531.

135361512 is a `hidden beast` number, since 1 + 35 + 3 + 615 + 12 = 666.

It is a super-2 number, since 2×135361512² = 36645477861852288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (135361511) 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, 3723 + ... + 16869.

It is an arithmetic number, because the mean of its divisors is an integer number (4486755).

Almost surely, 2^135361512 is an apocalyptic number.

135361512 is a gapful number since it is divisible by the number (12) 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 135361512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215364240).

135361512 is an abundant number, since it is smaller than the sum of its proper divisors (295366968).

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

135361512 is a wasteful number, since it uses less digits than its factorization.

135361512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13183 (or 13176 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 135361512 is about 11634.4966371562. The cubic root of 135361512 is about 513.4502846293.

The spelling of 135361512 in words is "one hundred thirty-five million, three hundred sixty-one thousand, five hundred twelve".