42857136 has 240 divisors, whose sum is σ = 151115328. Its totient is φ = 11059200.

The previous prime is 42857093. The next prime is 42857147. The reversal of 42857136 is 63175824.

42857136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42857136² = 3673468212244992, which contains 22 as substring.

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

Its product of digits (40320) is a multiple of the sum of its prime factors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 42857136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702546 + ... + 702606.

Almost surely, 2^42857136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42857136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75557664).

42857136 is an abundant number, since it is smaller than the sum of its proper divisors (108258192).

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

42857136 is a wasteful number, since it uses less digits than its factorization.

42857136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 131 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 42857136 is about 6546.5361833568. The cubic root of 42857136 is about 349.9513837235.

The spelling of 42857136 in words is "forty-two million, eight hundred fifty-seven thousand, one hundred thirty-six".