126900225 has 27 divisors (see below), whose sum is σ = 227595459. Its totient is φ = 67590000.

The previous prime is 126900199. The next prime is 126900233. The reversal of 126900225 is 522009621.

The square root of 126900225 is 11265.

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., 45684081 + 81216144 = 6759^2 + 9012^2 .

It is not a de Polignac number, because 126900225 - 2¹⁵ = 126867457 is a prime.

It is a super-2 number, since 2×126900225² = 32207334210101250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 168600 + ... + 169350.

Almost surely, 2^126900225 is an apocalyptic number.

126900225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126900225 is the 11265-th square number.

126900225 is the 5633-rd centered octagonal number.

It is an amenable number.

126900225 is a deficient number, since it is larger than the sum of its proper divisors (100695234).

126900225 is an frugal number, since it uses more digits than its factorization.

126900225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 126900225 is about 502.5209020785.

Adding to 126900225 its reverse (522009621), we get a palindrome (648909846).

The spelling of 126900225 in words is "one hundred twenty-six million, nine hundred thousand, two hundred twenty-five".