136414944 has 72 divisors (see below), whose sum is σ = 389621232. Its totient is φ = 45273600.

The previous prime is 136414939. The next prime is 136414961. The reversal of 136414944 is 449414631.

It is a happy number.

136414944 is a `hidden beast` number, since 1 + 3 + 641 + 4 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 junction number, because it is equal to n+sod(n) for n = 136414899 and 136414908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74844 + ... + 76644.

It is an arithmetic number, because the mean of its divisors is an integer number (5411406).

Almost surely, 2^136414944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136414944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194810616).

136414944 is an abundant number, since it is smaller than the sum of its proper divisors (253206288).

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

136414944 is a wasteful number, since it uses less digits than its factorization.

136414944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2069 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 136414944 is about 11679.6808175566. The cubic root of 136414944 is about 514.7787958803.

The spelling of 136414944 in words is "one hundred thirty-six million, four hundred fourteen thousand, nine hundred forty-four".