126525168 has 120 divisors (see below), whose sum is σ = 441507456. Its totient is φ = 32860800.

The previous prime is 126525149. The next prime is 126525187. The reversal of 126525168 is 861525621.

126525168 is a `hidden beast` number, since 126 + 525 + 1 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (126525149) and next prime (126525187).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5383 + ... + 16793.

Almost surely, 2^126525168 is an apocalyptic number.

126525168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126525168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220753728).

126525168 is an abundant number, since it is smaller than the sum of its proper divisors (314982288).

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

126525168 is a wasteful number, since it uses less digits than its factorization.

126525168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11443 (or 11434 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 126525168 is about 11248.3406776289. The cubic root of 126525168 is about 502.0253422337.

The spelling of 126525168 in words is "one hundred twenty-six million, five hundred twenty-five thousand, one hundred sixty-eight".