126225 has 48 divisors (see below), whose sum is σ = 267840. Its totient is φ = 57600.

The previous prime is 126223. The next prime is 126227. The reversal of 126225 is 522621.

126225 = 25³ + 26³ + ... + 30³.

It is an interprime number because it is at equal distance from previous prime (126223) and next prime (126227).

It is not a de Polignac number, because 126225 - 2¹ = 126223 is a prime.

It is a super-3 number, since 3×126225³ = 6033334342921875, which contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

126225 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 126198 and 126207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7417 + ... + 7433.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2¹²⁶²²⁵ is an apocalyptic number.

126225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126225 is the 225-th heptagonal number.

It is an amenable number.

126225 is an abundant number, since it is smaller than the sum of its proper divisors (141615).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126225 is a wasteful number, since it uses less digits than its factorization.

126225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 36 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 126225 is about 355.2815784698. The cubic root of 126225 is about 50.1628026638.

Adding to 126225 its reverse (522621), we get a palindrome (648846).

It can be divided in two parts, 126 and 225, that added together give a triangular number (351 = T₂₆).

The spelling of 126225 in words is "one hundred twenty-six thousand, two hundred twenty-five".