42735126 has 32 divisors (see below), whose sum is σ = 99763200. Its totient is φ = 11949696.

The previous prime is 42735107. The next prime is 42735139. The reversal of 42735126 is 62153724.

It is a junction number, because it is equal to n+sod(n) for n = 42735093 and 42735102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8851 + ... + 12798.

It is an arithmetic number, because the mean of its divisors is an integer number (3117600).

Almost surely, 2^42735126 is an apocalyptic number.

42735126 is an abundant number, since it is smaller than the sum of its proper divisors (57028074).

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

42735126 is a wasteful number, since it uses less digits than its factorization.

42735126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21708.

The product of its digits is 10080, while the sum is 30.

The square root of 42735126 is about 6537.2108731477. The cubic root of 42735126 is about 349.6189758284.

It can be divided in two parts, 427 and 35126, that added together give a palindrome (35553).

The spelling of 42735126 in words is "forty-two million, seven hundred thirty-five thousand, one hundred twenty-six".