136292112 has 320 divisors, whose sum is σ = 471398400. Its totient is φ = 37255680.

The previous prime is 136292087. The next prime is 136292119. The reversal of 136292112 is 211292631.

136292112 is a `hidden beast` number, since 1 + 3 + 629 + 21 + 12 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (136292119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3169563 + ... + 3169605.

It is an arithmetic number, because the mean of its divisors is an integer number (1473120).

Almost surely, 2^136292112 is an apocalyptic number.

136292112 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 136292112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

136292112 is an abundant number, since it is smaller than the sum of its proper divisors (335106288).

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

136292112 is a wasteful number, since it uses less digits than its factorization.

136292112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 136292112 is about 11674.4212704528. The cubic root of 136292112 is about 514.6242421949.

The spelling of 136292112 in words is "one hundred thirty-six million, two hundred ninety-two thousand, one hundred twelve".