42135240 has 128 divisors (see below), whose sum is σ = 146165760. Its totient is φ = 9517824.

The previous prime is 42135239. The next prime is 42135251. The reversal of 42135240 is 4253124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86277 + ... + 86763.

It is an arithmetic number, because the mean of its divisors is an integer number (1141920).

Almost surely, 2^42135240 is an apocalyptic number.

42135240 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 42135240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73082880).

42135240 is an abundant number, since it is smaller than the sum of its proper divisors (104030520).

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

42135240 is a wasteful number, since it uses less digits than its factorization.

42135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42135240 is about 6491.1663050641. The cubic root of 42135240 is about 347.9753582763.

Adding to 42135240 its reverse (4253124), we get a palindrome (46388364).

It can be divided in two parts, 42135 and 240, that multiplied together give a square (10112400 = 3180²).

The spelling of 42135240 in words is "forty-two million, one hundred thirty-five thousand, two hundred forty".