126138564 has 18 divisors (see below), whose sum is σ = 318850350. Its totient is φ = 42046176.

The previous prime is 126138563. The next prime is 126138577. The reversal of 126138564 is 465831621.

It is a happy number.

126138564 is a `hidden beast` number, since 1 + 2 + 61 + 38 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64641600 + 61496964 = 8040^2 + 7842^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3503849 = 126138564 / (1 + 2 + 6 + 1 + 3 + 8 + 5 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126138563) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1751889 + ... + 1751960.

Almost surely, 2^126138564 is an apocalyptic number.

It is an amenable number.

126138564 is an abundant number, since it is smaller than the sum of its proper divisors (192711786).

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

126138564 is a wasteful number, since it uses less digits than its factorization.

126138564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503859 (or 3503854 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 126138564 is about 11231.1425954798. The cubic root of 126138564 is about 501.5134993502.

The spelling of 126138564 in words is "one hundred twenty-six million, one hundred thirty-eight thousand, five hundred sixty-four".