135080640 has 336 divisors, whose sum is σ = 513527040. Its totient is φ = 32440320.

The previous prime is 135080581. The next prime is 135080641. The reversal of 135080640 is 46080531.

135080640 is a `hidden beast` number, since 13 + 5 + 0 + 8 + 0 + 640 = 666.

It is not an unprimeable number, because it can be changed into a prime (135080641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1517716 + ... + 1517804.

Almost surely, 2^135080640 is an apocalyptic number.

135080640 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 135080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256763520).

135080640 is an abundant number, since it is smaller than the sum of its proper divisors (378446400).

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

135080640 is a wasteful number, since it uses less digits than its factorization.

135080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135080640 is about 11622.4197136397. The cubic root of 135080640 is about 513.0949062353.

The spelling of 135080640 in words is "one hundred thirty-five million, eighty thousand, six hundred forty".