152804320 has 48 divisors (see below), whose sum is σ = 363687408. Its totient is φ = 60666880.

The previous prime is 152804303. The next prime is 152804357. The reversal of 152804320 is 23408251.

152804320 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 7 ways as a sum of consecutive naturals, for example, 18435 + ... + 25405.

It is an arithmetic number, because the mean of its divisors is an integer number (7576821).

Almost surely, 2^152804320 is an apocalyptic number.

152804320 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 152804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181843704).

152804320 is an abundant number, since it is smaller than the sum of its proper divisors (210883088).

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

152804320 is a wasteful number, since it uses less digits than its factorization.

152804320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7123 (or 7115 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 152804320 is about 12361.4044509514. The cubic root of 152804320 is about 534.6200114208.

It can be divided in two parts, 15280 and 4320, that added together give a square (19600 = 140²).

The spelling of 152804320 in words is "one hundred fifty-two million, eight hundred four thousand, three hundred twenty".