152325600 has 144 divisors (see below), whose sum is σ = 566713728. Its totient is φ = 34813440.

The previous prime is 152325571. The next prime is 152325617. The reversal of 152325600 is 6523251.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 12267 + ... + 21333.

It is an arithmetic number, because the mean of its divisors is an integer number (3935512).

Almost surely, 2^152325600 is an apocalyptic number.

152325600 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 152325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283356864).

152325600 is an abundant number, since it is smaller than the sum of its proper divisors (414388128).

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

152325600 is a wasteful number, since it uses less digits than its factorization.

152325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9097 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 152325600 is about 12342.0257656513. The cubic root of 152325600 is about 534.0611244540.

Adding to 152325600 its reverse (6523251), we get a palindrome (158848851).

The spelling of 152325600 in words is "one hundred fifty-two million, three hundred twenty-five thousand, six hundred".