152275600 has 45 divisors (see below), whose sum is σ = 366436027. Its totient is φ = 60811520.

The previous prime is 152275583. The next prime is 152275603. The reversal of 152275600 is 6572251.

The square root of 152275600 is 12340.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 71707024 + 80568576 = 8468^2 + 8976^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152275603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 246492 + ... + 247108.

Almost surely, 2^152275600 is an apocalyptic number.

152275600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152275600 is the 12340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152275600

152275600 is an abundant number, since it is smaller than the sum of its proper divisors (214160427).

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

152275600 is an frugal number, since it uses more digits than its factorization.

152275600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The cubic root of 152275600 is about 534.0026838975.

The spelling of 152275600 in words is "one hundred fifty-two million, two hundred seventy-five thousand, six hundred".