135478160 has 40 divisors (see below), whose sum is σ = 320336640. Its totient is φ = 53270912.

The previous prime is 135478159. The next prime is 135478163. The reversal of 135478160 is 61874531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×135478160³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135478160.

It is not an unprimeable number, because it can be changed into a prime (135478163) 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, 9632 + ... + 19071.

It is an arithmetic number, because the mean of its divisors is an integer number (8008416).

Almost surely, 2^135478160 is an apocalyptic number.

135478160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135478160 is an abundant number, since it is smaller than the sum of its proper divisors (184858480).

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

135478160 is a wasteful number, since it uses less digits than its factorization.

135478160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28775 (or 28769 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 135478160 is about 11639.5085806919. The cubic root of 135478160 is about 513.5977311520.

The spelling of 135478160 in words is "one hundred thirty-five million, four hundred seventy-eight thousand, one hundred sixty".