135642320 has 80 divisors (see below), whose sum is σ = 364315968. Its totient is φ = 46417920.

The previous prime is 135642313. The next prime is 135642341. The reversal of 135642320 is 23246531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 135642320.

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, 10427 + ... + 19493.

Almost surely, 2^135642320 is an apocalyptic number.

135642320 is a gapful number since it is divisible by the number (10) 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 135642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182157984).

135642320 is an abundant number, since it is smaller than the sum of its proper divisors (228673648).

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

135642320 is a wasteful number, since it uses less digits than its factorization.

135642320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9108 (or 9102 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 135642320 is about 11646.5582898984. The cubic root of 135642320 is about 513.8050909521.

Adding to 135642320 its reverse (23246531), we get a palindrome (158888851).

The spelling of 135642320 in words is "one hundred thirty-five million, six hundred forty-two thousand, three hundred twenty".