126275292 has 144 divisors (see below), whose sum is σ = 395041920. Its totient is φ = 33436800.

The previous prime is 126275249. The next prime is 126275293. The reversal of 126275292 is 292572621.

It is a happy number.

126275292 is a `hidden beast` number, since 1 + 2 + 627 + 5 + 29 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126275293) 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, 97167 + ... + 98457.

Almost surely, 2^126275292 is an apocalyptic number.

126275292 is a gapful number since it is divisible by the number (12) 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 126275292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197520960).

126275292 is an abundant number, since it is smaller than the sum of its proper divisors (268766628).

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

126275292 is a wasteful number, since it uses less digits than its factorization.

126275292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1339 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 126275292 is about 11237.2279499884. The cubic root of 126275292 is about 501.6946392401.

The spelling of 126275292 in words is "one hundred twenty-six million, two hundred seventy-five thousand, two hundred ninety-two".