136720416 has 96 divisors (see below), whose sum is σ = 423456768. Its totient is φ = 37797120.

The previous prime is 136720411. The next prime is 136720469. The reversal of 136720416 is 614027631.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (136720411) 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 15 ways as a sum of consecutive naturals, for example, 17551 + ... + 24113.

It is an arithmetic number, because the mean of its divisors is an integer number (4411008).

Almost surely, 2^136720416 is an apocalyptic number.

136720416 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 136720416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211728384).

136720416 is an abundant number, since it is smaller than the sum of its proper divisors (286736352).

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

136720416 is a wasteful number, since it uses less digits than its factorization.

136720416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 136720416 is about 11692.7505746082. The cubic root of 136720416 is about 515.1627549815.

The spelling of 136720416 in words is "one hundred thirty-six million, seven hundred twenty thousand, four hundred sixteen".