42135264 has 72 divisors (see below), whose sum is σ = 125051472. Its totient is φ = 13432320.

The previous prime is 42135259. The next prime is 42135271. The reversal of 42135264 is 46253124.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3444 + ... + 9804.

It is an arithmetic number, because the mean of its divisors is an integer number (1736826).

Almost surely, 2^42135264 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 42135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62525736).

42135264 is an abundant number, since it is smaller than the sum of its proper divisors (82916208).

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

42135264 is a wasteful number, since it uses less digits than its factorization.

42135264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6389 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42135264 is about 6491.1681537301. The cubic root of 42135264 is about 347.9754243446.

Adding to 42135264 its reverse (46253124), we get a palindrome (88388388).

The spelling of 42135264 in words is "forty-two million, one hundred thirty-five thousand, two hundred sixty-four".