135686772 has 48 divisors (see below), whose sum is σ = 378844480. Its totient is φ = 41749344.

The previous prime is 135686713. The next prime is 135686773. The reversal of 135686772 is 277686531.

135686772 is a `hidden beast` number, since 13 + 568 + 6 + 7 + 72 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135686773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46918 + ... + 49725.

Almost surely, 2^135686772 is an apocalyptic number.

135686772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135686772 is an abundant number, since it is smaller than the sum of its proper divisors (243157708).

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

135686772 is a wasteful number, since it uses less digits than its factorization.

135686772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96669 (or 96661 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 135686772 is about 11648.4665085152. The cubic root of 135686772 is about 513.8612120049.

The spelling of 135686772 in words is "one hundred thirty-five million, six hundred eighty-six thousand, seven hundred seventy-two".