42136320 has 72 divisors (see below), whose sum is σ = 134585136. Its totient is φ = 11235328.

The previous prime is 42136307. The next prime is 42136327. The reversal of 42136320 is 2363124.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42136327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1647 + ... + 9326.

It is an arithmetic number, because the mean of its divisors is an integer number (1869238).

Almost surely, 2^42136320 is an apocalyptic number.

42136320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67292568).

42136320 is an abundant number, since it is smaller than the sum of its proper divisors (92448816).

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

42136320 is a wasteful number, since it uses less digits than its factorization.

42136320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10997 (or 10983 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 42136320 is about 6491.2494945118. The cubic root of 42136320 is about 347.9783313235.

Adding to 42136320 its reverse (2363124), we get a palindrome (44499444).

The spelling of 42136320 in words is "forty-two million, one hundred thirty-six thousand, three hundred twenty".