152804960 has 192 divisors, whose sum is σ = 458680320. Its totient is φ = 46725120.

The previous prime is 152804947. The next prime is 152804963. The reversal of 152804960 is 69408251.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 152804960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152804963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 973202 + ... + 973358.

It is an arithmetic number, because the mean of its divisors is an integer number (2388960).

Almost surely, 2^152804960 is an apocalyptic number.

152804960 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 152804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229340160).

152804960 is an abundant number, since it is smaller than the sum of its proper divisors (305875360).

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

152804960 is a wasteful number, since it uses less digits than its factorization.

152804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 152804960 is about 12361.4303379504. The cubic root of 152804960 is about 534.6207578141.

The spelling of 152804960 in words is "one hundred fifty-two million, eight hundred four thousand, nine hundred sixty".