136943136 has 144 divisors (see below), whose sum is σ = 440844768. Its totient is φ = 41472000.

The previous prime is 136943129. The next prime is 136943137. The reversal of 136943136 is 631349631.

It is a tau number, because it is divible by the number of its divisors (144).

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 a self number, because there is not a number n which added to its sum of digits gives 136943136.

It is not an unprimeable number, because it can be changed into a prime (136943137) 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, 84736 + ... + 86336.

It is an arithmetic number, because the mean of its divisors is an integer number (3061422).

Almost surely, 2^136943136 is an apocalyptic number.

136943136 is a gapful number since it is divisible by the number (16) 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 136943136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220422384).

136943136 is an abundant number, since it is smaller than the sum of its proper divisors (303901632).

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

136943136 is a wasteful number, since it uses less digits than its factorization.

136943136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1617 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 136943136 is about 11702.2705489149. The cubic root of 136943136 is about 515.4423396638.

The spelling of 136943136 in words is "one hundred thirty-six million, nine hundred forty-three thousand, one hundred thirty-six".