126952224 has 192 divisors, whose sum is σ = 409973760. Its totient is φ = 33592320.

The previous prime is 126952219. The next prime is 126952237. The reversal of 126952224 is 422259621.

It is a super-2 number, since 2×126952224² = 32233734357092352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778767 + ... + 778929.

It is an arithmetic number, because the mean of its divisors is an integer number (2135280).

Almost surely, 2^126952224 is an apocalyptic number.

126952224 is a gapful number since it is divisible by the number (14) 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 126952224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204986880).

126952224 is an abundant number, since it is smaller than the sum of its proper divisors (283021536).

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

126952224 is a wasteful number, since it uses less digits than its factorization.

126952224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 126952224 is about 11267.3077529639. The cubic root of 126952224 is about 502.5895308407.

The spelling of 126952224 in words is "one hundred twenty-six million, nine hundred fifty-two thousand, two hundred twenty-four".