135624704 has 48 divisors (see below), whose sum is σ = 277149600. Its totient is φ = 66322432.

The previous prime is 135624701. The next prime is 135624733. The reversal of 135624704 is 407426531.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135624701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95552 + ... + 96960.

It is an arithmetic number, because the mean of its divisors is an integer number (5773950).

Almost surely, 2^135624704 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 135624704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138574800).

135624704 is an abundant number, since it is smaller than the sum of its proper divisors (141524896).

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

135624704 is an equidigital number, since it uses as much as digits as its factorization.

135624704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 135624704 is about 11645.8019904170. The cubic root of 135624704 is about 513.7828472002.

The spelling of 135624704 in words is "one hundred thirty-five million, six hundred twenty-four thousand, seven hundred four".