135136512 has 360 divisors, whose sum is σ = 494648000. Its totient is φ = 36578304.

The previous prime is 135136499. The next prime is 135136541. The reversal of 135136512 is 215631531.

135136512 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 3 + 651 + 2 = 666.

It is a super-2 number, since 2×135136512² = 36523753751052288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7112439 + ... + 7112457.

Almost surely, 2^135136512 is an apocalyptic number.

135136512 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 135136512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247324000).

135136512 is an abundant number, since it is smaller than the sum of its proper divisors (359511488).

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

135136512 is an frugal number, since it uses more digits than its factorization.

135136512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 31 counting only the distinct ones).

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

The square root of 135136512 is about 11624.8230954282. The cubic root of 135136512 is about 513.1656385203.

The spelling of 135136512 in words is "one hundred thirty-five million, one hundred thirty-six thousand, five hundred twelve".