126555264 has 128 divisors (see below), whose sum is σ = 407592000. Its totient is φ = 38338560.

The previous prime is 126555239. The next prime is 126555287. The reversal of 126555264 is 462555621.

126555264 is a `hidden beast` number, since 126 + 5 + 5 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×126555264² = 32032469692219392, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36352 + ... + 39680.

Almost surely, 2^126555264 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 126555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203796000).

126555264 is an abundant number, since it is smaller than the sum of its proper divisors (281036736).

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

126555264 is a wasteful number, since it uses less digits than its factorization.

126555264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3345 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 126555264 is about 11249.6783954031. The cubic root of 126555264 is about 502.0651439510.

The spelling of 126555264 in words is "one hundred twenty-six million, five hundred fifty-five thousand, two hundred sixty-four".