136749024 has 72 divisors (see below), whose sum is σ = 390106080. Its totient is φ = 45439488.

The previous prime is 136748999. The next prime is 136749031. The reversal of 136749024 is 420947631.

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 self number, because there is not a number n which added to its sum of digits gives 136749024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131097 + ... + 132135.

It is an arithmetic number, because the mean of its divisors is an integer number (5418140).

Almost surely, 2^136749024 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 136749024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195053040).

136749024 is an abundant number, since it is smaller than the sum of its proper divisors (253357056).

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

136749024 is a wasteful number, since it uses less digits than its factorization.

136749024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 136749024 is about 11693.9738327055. The cubic root of 136749024 is about 515.1986841395.

The spelling of 136749024 in words is "one hundred thirty-six million, seven hundred forty-nine thousand, twenty-four".