152748960 has 288 divisors, whose sum is σ = 597663360. Its totient is φ = 32108544.

The previous prime is 152748931. The next prime is 152748983. The reversal of 152748960 is 69847251.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 567706 + ... + 567974.

It is an arithmetic number, because the mean of its divisors is an integer number (2075220).

Almost surely, 2^152748960 is an apocalyptic number.

152748960 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 152748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298831680).

152748960 is an abundant number, since it is smaller than the sum of its proper divisors (444914400).

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

152748960 is a wasteful number, since it uses less digits than its factorization.

152748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 152748960 is about 12359.1650203402. The cubic root of 152748960 is about 534.5554405179. Note that the first 3 decimals are identical.

The spelling of 152748960 in words is "one hundred fifty-two million, seven hundred forty-eight thousand, nine hundred sixty".