135089640 has 256 divisors, whose sum is σ = 522547200. Its totient is φ = 30405888.

The previous prime is 135089611. The next prime is 135089651. The reversal of 135089640 is 46980531.

135089640 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 8 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 135089595 and 135089604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 808837 + ... + 809003.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^135089640 is an apocalyptic number.

135089640 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 135089640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261273600).

135089640 is an abundant number, since it is smaller than the sum of its proper divisors (387457560).

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

135089640 is a wasteful number, since it uses less digits than its factorization.

135089640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 135089640 is about 11622.8068899040. The cubic root of 135089640 is about 513.1063012844.

The spelling of 135089640 in words is "one hundred thirty-five million, eighty-nine thousand, six hundred forty".