135645120 has 168 divisors, whose sum is σ = 502590816. Its totient is φ = 33380352.

The previous prime is 135645113. The next prime is 135645131. The reversal of 135645120 is 21546531.

135645120 is a `hidden beast` number, since 1 + 3 + 5 + 645 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 35629 + ... + 39251.

It is an arithmetic number, because the mean of its divisors is an integer number (2991612).

Almost surely, 2^135645120 is an apocalyptic number.

135645120 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 135645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251295408).

135645120 is an abundant number, since it is smaller than the sum of its proper divisors (366945696).

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

135645120 is a wasteful number, since it uses less digits than its factorization.

135645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 135645120 is about 11646.6784964641. The cubic root of 135645120 is about 513.8086263393.

The spelling of 135645120 in words is "one hundred thirty-five million, six hundred forty-five thousand, one hundred twenty".