126901566 has 160 divisors (see below), whose sum is σ = 338722560. Its totient is φ = 35078400.

The previous prime is 126901547. The next prime is 126901573. The reversal of 126901566 is 665109621.

126901566 is a `hidden beast` number, since 1 + 2 + 6 + 90 + 1 + 566 = 666.

It is a super-2 number, since 2×126901566² = 32208014906504712, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 126901566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1787311 + ... + 1787381.

It is an arithmetic number, because the mean of its divisors is an integer number (2117016).

Almost surely, 2^126901566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126901566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169361280).

126901566 is an abundant number, since it is smaller than the sum of its proper divisors (211820994).

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

126901566 is a wasteful number, since it uses less digits than its factorization.

126901566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 126901566 is about 11265.0595204819. The cubic root of 126901566 is about 502.5226721782.

The spelling of 126901566 in words is "one hundred twenty-six million, nine hundred one thousand, five hundred sixty-six".