135692172 has 288 divisors, whose sum is σ = 464755200. Its totient is φ = 34292160.

The previous prime is 135692143. The next prime is 135692173. The reversal of 135692172 is 271296531.

135692172 is a `hidden beast` number, since 1 + 3 + 569 + 21 + 72 = 666.

135692172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

Its product of digits (22680) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135692173) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3667338 + ... + 3667374.

Almost surely, 2^135692172 is an apocalyptic number.

135692172 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 135692172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232377600).

135692172 is an abundant number, since it is smaller than the sum of its proper divisors (329063028).

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

135692172 is a wasteful number, since it uses less digits than its factorization.

135692172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 135692172 is about 11648.6982963763. The cubic root of 135692172 is about 513.8680287188.

It can be divided in two parts, 1356 and 92172, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 135692172 in words is "one hundred thirty-five million, six hundred ninety-two thousand, one hundred seventy-two".