126597042 has 96 divisors (see below), whose sum is σ = 325503360. Its totient is φ = 35055360.

The previous prime is 126597007. The next prime is 126597043. The reversal of 126597042 is 240795621.

126597042 is a `hidden beast` number, since 1 + 26 + 597 + 0 + 42 = 666.

It is a super-2 number, since 2×126597042² = 32053622086299528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 126596988 and 126597006.

It is not an unprimeable number, because it can be changed into a prime (126597043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 352459 + ... + 352817.

It is an arithmetic number, because the mean of its divisors is an integer number (3390660).

Almost surely, 2^126597042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126597042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162751680).

126597042 is an abundant number, since it is smaller than the sum of its proper divisors (198906318).

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

126597042 is a wasteful number, since it uses less digits than its factorization.

126597042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 126597042 is about 11251.5350952659. The cubic root of 126597042 is about 502.1203845609.

It can be divided in two parts, 12659 and 7042, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 126597042 in words is "one hundred twenty-six million, five hundred ninety-seven thousand, forty-two".