133749225 has 45 divisors (see below), whose sum is σ = 248717557. Its totient is φ = 71055360.

The previous prime is 133749211. The next prime is 133749331. The reversal of 133749225 is 522947331.

The square root of 133749225 is 11565.

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 32867289 + 100881936 = 5733^2 + 10044^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 133749225 - 2²⁵ = 100194793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133749225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 520297 + ... + 520553.

Almost surely, 2^133749225 is an apocalyptic number.

133749225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

133749225 is the 11565-th square number.

133749225 is the 5783-rd centered octagonal number.

It is an amenable number.

133749225 is a deficient number, since it is larger than the sum of its proper divisors (114968332).

133749225 is an frugal number, since it uses more digits than its factorization.

133749225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 265 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The cubic root of 133749225 is about 511.4035731233.

Multiplying 133749225 by its sum of digits (36), we get a square (4814972100 = 69390²).

The spelling of 133749225 in words is "one hundred thirty-three million, seven hundred forty-nine thousand, two hundred twenty-five".