135642304 has 56 divisors (see below), whose sum is σ = 312277760. Its totient is φ = 57252096.

The previous prime is 135642301. The next prime is 135642307. The reversal of 135642304 is 403246531.

It is an interprime number because it is at equal distance from previous prime (135642301) and next prime (135642307).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (135642301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27757 + ... + 32275.

Almost surely, 2^135642304 is an apocalyptic number.

135642304 is a gapful number since it is divisible by the number (14) 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 135642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156138880).

135642304 is an abundant number, since it is smaller than the sum of its proper divisors (176635456).

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

135642304 is an equidigital number, since it uses as much as digits as its factorization.

135642304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4595 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 135642304 is about 11646.5576030001. The cubic root of 135642304 is about 513.8050707497.

Adding to 135642304 its reverse (403246531), we get a palindrome (538888835).

It can be divided in two parts, 1356 and 42304, that added together give a triangular number (43660 = T₂₉₅).

The spelling of 135642304 in words is "one hundred thirty-five million, six hundred forty-two thousand, three hundred four".