152284800 has 192 divisors, whose sum is σ = 519832800. Its totient is φ = 39137280.

The previous prime is 152284777. The next prime is 152284837. The reversal of 152284800 is 8482251.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×152284800² = 46381320622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 278127 + ... + 278673.

Almost surely, 2^152284800 is an apocalyptic number.

152284800 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 152284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259916400).

152284800 is an abundant number, since it is smaller than the sum of its proper divisors (367548000).

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

152284800 is a wasteful number, since it uses less digits than its factorization.

152284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 152284800 is about 12340.3727658446. The cubic root of 152284800 is about 534.0134379202.

The spelling of 152284800 in words is "one hundred fifty-two million, two hundred eighty-four thousand, eight hundred".