152142400 has 42 divisors (see below), whose sum is σ = 374369330. Its totient is φ = 60856320.

The previous prime is 152142391. The next prime is 152142413. The reversal of 152142400 is 4241251.

It can be written as a sum of positive squares in 3 ways, for example, as 47775744 + 104366656 = 6912^2 + 10216^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45945 + ... + 49144.

Almost surely, 2^152142400 is an apocalyptic number.

152142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152142400 is an abundant number, since it is smaller than the sum of its proper divisors (222226930).

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

152142400 is an equidigital number, since it uses as much as digits as its factorization.

152142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95111 (or 95096 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 152142400 is about 12334.6017365783. The cubic root of 152142400 is about 533.8469357952.

Adding to 152142400 its reverse (4241251), we get a palindrome (156383651).

The spelling of 152142400 in words is "one hundred fifty-two million, one hundred forty-two thousand, four hundred".