135105807000 has 64 divisors (see below), whose sum is σ = 421530127200. Its totient is φ = 36028214400.

The previous prime is 135105806977. The next prime is 135105807013. The reversal of 135105807000 is 708501531.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22514635 + ... + 22520634.

Almost surely, 2^135105807000 is an apocalyptic number.

135105807000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135105807000 is an abundant number, since it is smaller than the sum of its proper divisors (286424320200).

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

135105807000 is a wasteful number, since it uses less digits than its factorization.

135105807000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45035293 (or 45035279 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 135105807000 in words is "one hundred thirty-five billion, one hundred five million, eight hundred seven thousand".