153735201 has 9 divisors (see below), whose sum is σ = 222115699. Its totient is φ = 102465336.

The previous prime is 153735193. The next prime is 153735217. The reversal of 153735201 is 102537351.

The square root of 153735201 is 12399.

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

It can be written as a sum of positive squares in only one way, i.e., 113742225 + 39992976 = 10665^2 + 6324^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 153735201 - 2³ = 153735193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153735401) 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, 35131 + ... + 39263.

Almost surely, 2^153735201 is an apocalyptic number.

153735201 is the 12399-th square number.

153735201 is the 6200-th centered octagonal number.

It is an amenable number.

153735201 is a deficient number, since it is larger than the sum of its proper divisors (68380498).

153735201 is an frugal number, since it uses more digits than its factorization.

153735201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8272 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The cubic root of 153735201 is about 535.7034459369.

The spelling of 153735201 in words is "one hundred fifty-three million, seven hundred thirty-five thousand, two hundred one".