126053564 has 48 divisors (see below), whose sum is σ = 280283136. Its totient is φ = 48254400.

The previous prime is 126053549. The next prime is 126053569. The reversal of 126053564 is 465350621.

It is a self number, because there is not a number n which added to its sum of digits gives 126053564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126053569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5699 + ... + 16869.

It is an arithmetic number, because the mean of its divisors is an integer number (5839232).

Almost surely, 2^126053564 is an apocalyptic number.

126053564 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 126053564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140141568).

126053564 is an abundant number, since it is smaller than the sum of its proper divisors (154229572).

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

126053564 is a wasteful number, since it uses less digits than its factorization.

126053564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11226 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 126053564 is about 11227.3578369980. The cubic root of 126053564 is about 501.4008237207.

The spelling of 126053564 in words is "one hundred twenty-six million, fifty-three thousand, five hundred sixty-four".