152705600 has 42 divisors (see below), whose sum is σ = 375755154. Its totient is φ = 61081600.

The previous prime is 152705573. The next prime is 152705617. The reversal of 152705600 is 6507251.

It can be written as a sum of positive squares in 3 ways, for example, as 30647296 + 122058304 = 5536^2 + 11048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 152705600.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46121 + ... + 49320.

Almost surely, 2^152705600 is an apocalyptic number.

152705600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152705600 is an abundant number, since it is smaller than the sum of its proper divisors (223049554).

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

152705600 is an equidigital number, since it uses as much as digits as its factorization.

152705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95463 (or 95448 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 152705600 is about 12357.4107320263. The cubic root of 152705600 is about 534.5048553019.

The spelling of 152705600 in words is "one hundred fifty-two million, seven hundred five thousand, six hundred".