136456416 has 144 divisors (see below), whose sum is σ = 420323904. Its totient is φ = 41828352.

The previous prime is 136456409. The next prime is 136456429. The reversal of 136456416 is 614654631.

It is a happy number.

136456416 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 5 + 641 + 6 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229816 + ... + 230408.

It is an arithmetic number, because the mean of its divisors is an integer number (2918916).

Almost surely, 2^136456416 is an apocalyptic number.

136456416 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 136456416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210161952).

136456416 is an abundant number, since it is smaller than the sum of its proper divisors (283867488).

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

136456416 is a wasteful number, since it uses less digits than its factorization.

136456416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 662 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 136456416 is about 11681.4560736237. The cubic root of 136456416 is about 514.8309571819.

The spelling of 136456416 in words is "one hundred thirty-six million, four hundred fifty-six thousand, four hundred sixteen".