135945000 has 320 divisors, whose sum is σ = 506088000. Its totient is φ = 33696000.

The previous prime is 135944999. The next prime is 135945023. The reversal of 135945000 is 549531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 2564974 + ... + 2565026.

It is an arithmetic number, because the mean of its divisors is an integer number (1581525).

Almost surely, 2^135945000 is an apocalyptic number.

135945000 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 135945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253044000).

135945000 is an abundant number, since it is smaller than the sum of its proper divisors (370143000).

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

135945000 is a wasteful number, since it uses less digits than its factorization.

135945000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 135945000 is about 11659.5454456853. The cubic root of 135945000 is about 514.1869850161.

The spelling of 135945000 in words is "one hundred thirty-five million, nine hundred forty-five thousand".