40146133225 has 27 divisors (see below), whose sum is σ = 54733208439. Its totient is φ = 29189173200.

The previous prime is 40146133213. The next prime is 40146133243. The reversal of 40146133225 is 52233164104.

The square root of 40146133225 is 200365.

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., 14452607961 + 25693525264 = 120219^2 + 160292^2 .

It is a de Polignac number, because none of the positive numbers 2^k-40146133225 is a prime.

It is a super-2 number, since 2×40146133225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11018254 + ... + 11021896.

Almost surely, 2^40146133225 is an apocalyptic number.

40146133225 is the 200365-th square number.

40146133225 is the 100183-rd centered octagonal number.

It is an amenable number.

40146133225 is a deficient number, since it is larger than the sum of its proper divisors (14587075214).

40146133225 is an frugal number, since it uses more digits than its factorization.

40146133225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7318 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 40146133225 its reverse (52233164104), we get a palindrome (92379297329).

It can be divided in two parts, 40146 and 133225, that added together give a palindrome (173371).

The spelling of 40146133225 in words is "forty billion, one hundred forty-six million, one hundred thirty-three thousand, two hundred twenty-five".