152547201 has 27 divisors (see below), whose sum is σ = 231636769. Its totient is φ = 96733032.

The previous prime is 152547173. The next prime is 152547203. The reversal of 152547201 is 102745251.

The square root of 152547201 is 12351.

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

152547201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152547201 - 2⁹ = 152546689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152547203) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 852130 + ... + 852308.

Almost surely, 2^152547201 is an apocalyptic number.

152547201 is the 12351-st square number.

152547201 is the 6176-th centered octagonal number.

It is an amenable number.

152547201 is a deficient number, since it is larger than the sum of its proper divisors (79089568).

152547201 is an equidigital number, since it uses as much as digits as its factorization.

152547201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The cubic root of 152547201 is about 534.3199803413.

It can be divided in two parts, 15 and 2547201, that added together give a square (2547216 = 1596²).

The spelling of 152547201 in words is "one hundred fifty-two million, five hundred forty-seven thousand, two hundred one".