135114960 has 40 divisors (see below), whose sum is σ = 418857120. Its totient is φ = 36030592.

The previous prime is 135114943. The next prime is 135114961. The reversal of 135114960 is 69411531.

135114960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135114961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281250 + ... + 281729.

It is an arithmetic number, because the mean of its divisors is an integer number (10471428).

Almost surely, 2^135114960 is an apocalyptic number.

135114960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135114960 is an abundant number, since it is smaller than the sum of its proper divisors (283742160).

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

135114960 is a wasteful number, since it uses less digits than its factorization.

135114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562995 (or 562989 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 135114960 is about 11623.8960766173. The cubic root of 135114960 is about 513.1383566415.

The spelling of 135114960 in words is "one hundred thirty-five million, one hundred fourteen thousand, nine hundred sixty".