152735604 has 96 divisors (see below), whose sum is σ = 434273280. Its totient is φ = 40808448.

The previous prime is 152735587. The next prime is 152735641. The reversal of 152735604 is 406537251.

152735604 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131892 + ... + 133044.

It is an arithmetic number, because the mean of its divisors is an integer number (4523680).

Almost surely, 2^152735604 is an apocalyptic number.

152735604 is a gapful number since it is divisible by the number (14) 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 152735604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217136640).

152735604 is an abundant number, since it is smaller than the sum of its proper divisors (281537676).

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

152735604 is a wasteful number, since it uses less digits than its factorization.

152735604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 152735604 is about 12358.6246807644. The cubic root of 152735604 is about 534.5398599850.

The spelling of 152735604 in words is "one hundred fifty-two million, seven hundred thirty-five thousand, six hundred four".