135677412 has 72 divisors (see below), whose sum is σ = 374943296. Its totient is φ = 41114304.

The previous prime is 135677411. The next prime is 135677429. The reversal of 135677412 is 214776531.

It is a happy number.

135677412 is a `hidden beast` number, since 13 + 567 + 74 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (135677411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29193 + ... + 33519.

Almost surely, 2^135677412 is an apocalyptic number.

135677412 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 135677412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187471648).

135677412 is an abundant number, since it is smaller than the sum of its proper divisors (239265884).

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

135677412 is a wasteful number, since it uses less digits than its factorization.

135677412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4412 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 135677412 is about 11648.0647319630. The cubic root of 135677412 is about 513.8493959389.

The spelling of 135677412 in words is "one hundred thirty-five million, six hundred seventy-seven thousand, four hundred twelve".