135836172 has 72 divisors (see below), whose sum is σ = 360622080. Its totient is φ = 43054560.

The previous prime is 135836167. The next prime is 135836177. The reversal of 135836172 is 271638531.

135836172 is a `hidden beast` number, since 1 + 3 + 583 + 6 + 1 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (135836167) and next prime (135836177).

It is a super-2 number, since 2×135836172² = 36902931247227168, which contains 22 as substring.

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 (135836177) 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, 64813 + ... + 66875.

It is an arithmetic number, because the mean of its divisors is an integer number (5008640).

Almost surely, 2^135836172 is an apocalyptic number.

135836172 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 135836172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180311040).

135836172 is an abundant number, since it is smaller than the sum of its proper divisors (224785908).

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

135836172 is a wasteful number, since it uses less digits than its factorization.

135836172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2158 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 135836172 is about 11654.8776055349. The cubic root of 135836172 is about 514.0497410820.

The spelling of 135836172 in words is "one hundred thirty-five million, eight hundred thirty-six thousand, one hundred seventy-two".