136929312 has 192 divisors, whose sum is σ = 438600960. Its totient is φ = 41306112.

The previous prime is 136929311. The next prime is 136929319. The reversal of 136929312 is 213929631.

It is a happy number.

136929312 is a `hidden beast` number, since 1 + 369 + 293 + 1 + 2 = 666.

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

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 (136929311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819853 + ... + 820019.

It is an arithmetic number, because the mean of its divisors is an integer number (2284380).

Almost surely, 2^136929312 is an apocalyptic number.

136929312 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 136929312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219300480).

136929312 is an abundant number, since it is smaller than the sum of its proper divisors (301671648).

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

136929312 is a wasteful number, since it uses less digits than its factorization.

136929312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 136929312 is about 11701.6798794019. The cubic root of 136929312 is about 515.4249949593.

The spelling of 136929312 in words is "one hundred thirty-six million, nine hundred twenty-nine thousand, three hundred twelve".