126171264 has 64 divisors (see below), whose sum is σ = 340884000. Its totient is φ = 41336832.

The previous prime is 126171247. The next prime is 126171277. The reversal of 126171264 is 462171621.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19872 + ... + 25440.

Almost surely, 2^126171264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126171264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170442000).

126171264 is an abundant number, since it is smaller than the sum of its proper divisors (214712736).

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

126171264 is an equidigital number, since it uses as much as digits as its factorization.

126171264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5645 (or 5633 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 126171264 is about 11232.5982746647. The cubic root of 126171264 is about 501.5568328452.

The spelling of 126171264 in words is "one hundred twenty-six million, one hundred seventy-one thousand, two hundred sixty-four".