136812312 has 288 divisors, whose sum is σ = 491727600. Its totient is φ = 33965568.

The previous prime is 136812287. The next prime is 136812317. The reversal of 136812312 is 213218631.

It is a happy number.

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

136812312 is a modest number, since divided by 12312 gives 1368 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136812317) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 871338 + ... + 871494.

Almost surely, 2^136812312 is an apocalyptic number.

136812312 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 136812312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245863800).

136812312 is an abundant number, since it is smaller than the sum of its proper divisors (354915288).

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

136812312 is a wasteful number, since it uses less digits than its factorization.

136812312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 136812312 is about 11696.6795288236. The cubic root of 136812312 is about 515.2781505581.

It can be divided in two parts, 1368 and 12312, that multiplied together give a square (16842816 = 4104²).

The spelling of 136812312 in words is "one hundred thirty-six million, eight hundred twelve thousand, three hundred twelve".