126192564 has 36 divisors (see below), whose sum is σ = 337752324. Its totient is φ = 39589632.

The previous prime is 126192551. The next prime is 126192589. The reversal of 126192564 is 465291621.

126192564 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 92 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117548964 + 8643600 = 10842^2 + 2940^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102487 + ... + 103710.

It is an arithmetic number, because the mean of its divisors is an integer number (9382009).

Almost surely, 2^126192564 is an apocalyptic number.

It is an amenable number.

126192564 is an abundant number, since it is smaller than the sum of its proper divisors (211559760).

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

126192564 is a wasteful number, since it uses less digits than its factorization.

126192564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206224 (or 206219 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 126192564 is about 11233.5463679107. The cubic root of 126192564 is about 501.5850552235.

It can be divided in two parts, 126192 and 564, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 126192564 in words is "one hundred twenty-six million, one hundred ninety-two thousand, five hundred sixty-four".