126166416 has 40 divisors (see below), whose sum is σ = 327642720. Its totient is φ = 41834496.

The previous prime is 126166399. The next prime is 126166423. The reversal of 126166416 is 614661621.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2455 + ... + 16073.

It is an arithmetic number, because the mean of its divisors is an integer number (8191068).

Almost surely, 2^126166416 is an apocalyptic number.

126166416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126166416 is an abundant number, since it is smaller than the sum of its proper divisors (201476304).

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

126166416 is a wasteful number, since it uses less digits than its factorization.

126166416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13823 (or 13817 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 126166416 is about 11232.3824721205. The cubic root of 126166416 is about 501.5504088292.

The spelling of 126166416 in words is "one hundred twenty-six million, one hundred sixty-six thousand, four hundred sixteen".