135141000 has 128 divisors (see below), whose sum is σ = 426591360. Its totient is φ = 35616000.

The previous prime is 135140987. The next prime is 135141029. The reversal of 135141000 is 141531.

135141000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320790 + ... + 321210.

It is an arithmetic number, because the mean of its divisors is an integer number (3332745).

Almost surely, 2^135141000 is an apocalyptic number.

135141000 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 135141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213295680).

135141000 is an abundant number, since it is smaller than the sum of its proper divisors (291450360).

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

135141000 is a wasteful number, since it uses less digits than its factorization.

135141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 135141000 is about 11625.0161290211. The cubic root of 135141000 is about 513.1713193484.

Adding to 135141000 its reverse (141531), we get a palindrome (135282531).

The spelling of 135141000 in words is "one hundred thirty-five million, one hundred forty-one thousand".