135142000 has 160 divisors (see below), whose sum is σ = 383011200. Its totient is φ = 46099200.

The previous prime is 135141983. The next prime is 135142057. The reversal of 135142000 is 241531.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 685902 + ... + 686098.

It is an arithmetic number, because the mean of its divisors is an integer number (2393820).

Almost surely, 2^135142000 is an apocalyptic number.

135142000 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 135142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191505600).

135142000 is an abundant number, since it is smaller than the sum of its proper divisors (247869200).

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

135142000 is an equidigital number, since it uses as much as digits as its factorization.

135142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 135142000 is about 11625.0591396345. The cubic root of 135142000 is about 513.1725851130.

Adding to 135142000 its reverse (241531), we get a palindrome (135383531).

The spelling of 135142000 in words is "one hundred thirty-five million, one hundred forty-two thousand".