135642960 has 120 divisors (see below), whose sum is σ = 475398144. Its totient is φ = 34594560.

The previous prime is 135642943. The next prime is 135642967. The reversal of 135642960 is 69246531.

It is a happy number.

135642960 is a `hidden beast` number, since 1 + 3 + 5 + 642 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135642967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12465 + ... + 20655.

Almost surely, 2^135642960 is an apocalyptic number.

135642960 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 135642960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237699072).

135642960 is an abundant number, since it is smaller than the sum of its proper divisors (339755184).

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

135642960 is a wasteful number, since it uses less digits than its factorization.

135642960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8233 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 135642960 is about 11646.5857657942. The cubic root of 135642960 is about 513.8058990449.

The spelling of 135642960 in words is "one hundred thirty-five million, six hundred forty-two thousand, nine hundred sixty".