135488160 has 192 divisors, whose sum is σ = 481420800. Its totient is φ = 35582976.

The previous prime is 135488063. The next prime is 135488173. The reversal of 135488160 is 61884531.

135488160 is a `hidden beast` number, since 13 + 5 + 488 + 160 = 666.

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

It is a congruent number.

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, 341082 + ... + 341478.

It is an arithmetic number, because the mean of its divisors is an integer number (2507400).

Almost surely, 2^135488160 is an apocalyptic number.

135488160 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 135488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240710400).

135488160 is an abundant number, since it is smaller than the sum of its proper divisors (345932640).

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

135488160 is a wasteful number, since it uses less digits than its factorization.

135488160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 135488160 is about 11639.9381441655. The cubic root of 135488160 is about 513.6103675084.

The spelling of 135488160 in words is "one hundred thirty-five million, four hundred eighty-eight thousand, one hundred sixty".