136416000 has 432 divisors, whose sum is σ = 545257440. Its totient is φ = 30105600.

The previous prime is 136415989. The next prime is 136416001. The reversal of 136416000 is 614631.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (136416001) 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 47 ways as a sum of consecutive naturals, for example, 4703986 + ... + 4704014.

It is an arithmetic number, because the mean of its divisors is an integer number (1262170).

Almost surely, 2^136416000 is an apocalyptic number.

136416000 is a gapful number since it is divisible by the number (10) 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 136416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272628720).

136416000 is an abundant number, since it is smaller than the sum of its proper divisors (408841440).

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

136416000 is an equidigital number, since it uses as much as digits as its factorization.

136416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 136416000 is about 11679.7260241840. The cubic root of 136416000 is about 514.7801241927.

The spelling of 136416000 in words is "one hundred thirty-six million, four hundred sixteen thousand".