136801824 has 96 divisors (see below), whose sum is σ = 381024000. Its totient is φ = 42856704.

The previous prime is 136801823. The next prime is 136801829. The reversal of 136801824 is 428108631.

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 (136801823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326287 + ... + 326705.

It is an arithmetic number, because the mean of its divisors is an integer number (3969000).

Almost surely, 2^136801824 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 136801824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190512000).

136801824 is an abundant number, since it is smaller than the sum of its proper divisors (244222176).

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

136801824 is a wasteful number, since it uses less digits than its factorization.

136801824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 136801824 is about 11696.2311878656. The cubic root of 136801824 is about 515.2649831873.

The spelling of 136801824 in words is "one hundred thirty-six million, eight hundred one thousand, eight hundred twenty-four".