126427536 has 45 divisors (see below), whose sum is σ = 354199521. Its totient is φ = 42097536.

The previous prime is 126427531. The next prime is 126427537. The reversal of 126427536 is 635724621.

The square root of 126427536 is 11244.

It is a perfect power (a square), and thus also a powerful number.

126427536 is a `hidden beast` number, since 1 + 2 + 642 + 7 + 5 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6656400 + 119771136 = 2580^2 + 10944^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 126427536.

It is not an unprimeable number, because it can be changed into a prime (126427531) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 134460 + ... + 135396.

Almost surely, 2^126427536 is an apocalyptic number.

126427536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126427536 is the 11244-th square number.

It is an amenable number.

126427536 is an abundant number, since it is smaller than the sum of its proper divisors (227771985).

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

126427536 is an frugal number, since it uses more digits than its factorization.

126427536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1888 (or 942 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The cubic root of 126427536 is about 501.8961812365.

Multiplying 126427536 by its sum of digits (36), we get a square (4551391296 = 67464²).

126427536 divided by its sum of digits (36) gives a square (3511876 = 1874²).

The spelling of 126427536 in words is "one hundred twenty-six million, four hundred twenty-seven thousand, five hundred thirty-six".