152304640 has 88 divisors (see below), whose sum is σ = 369639072. Its totient is φ = 60211200.

The previous prime is 152304631. The next prime is 152304697. The reversal of 152304640 is 46403251.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 773022 + ... + 773218.

It is an arithmetic number, because the mean of its divisors is an integer number (4200444).

Almost surely, 2^152304640 is an apocalyptic number.

152304640 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 152304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184819536).

152304640 is an abundant number, since it is smaller than the sum of its proper divisors (217334432).

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

152304640 is a wasteful number, since it uses less digits than its factorization.

152304640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 152304640 is about 12341.1766051702. The cubic root of 152304640 is about 534.0366277298.

Adding to 152304640 its reverse (46403251), we get a palindrome (198707891).

The spelling of 152304640 in words is "one hundred fifty-two million, three hundred four thousand, six hundred forty".