42035136 has 112 divisors (see below), whose sum is σ = 130747008. Its totient is φ = 11750400.

The previous prime is 42035093. The next prime is 42035141. The reversal of 42035136 is 63153024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 26691 + ... + 28221.

It is an arithmetic number, because the mean of its divisors is an integer number (1167384).

Almost surely, 2^42035136 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 42035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65373504).

42035136 is an abundant number, since it is smaller than the sum of its proper divisors (88711872).

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

42035136 is a wasteful number, since it uses less digits than its factorization.

42035136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 42035136 is about 6483.4509329523. The cubic root of 42035136 is about 347.6995689570.

It can be divided in two parts, 4203 and 5136, that added together give a palindrome (9339).

The spelling of 42035136 in words is "forty-two million, thirty-five thousand, one hundred thirty-six".