135141072 has 120 divisors (see below), whose sum is σ = 402518880. Its totient is φ = 38741760.

The previous prime is 135141037. The next prime is 135141089. The reversal of 135141072 is 270141531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190254 + ... + 190962.

It is an arithmetic number, because the mean of its divisors is an integer number (3354324).

Almost surely, 2^135141072 is an apocalyptic number.

135141072 is a gapful number since it is divisible by the number (12) 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 135141072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201259440).

135141072 is an abundant number, since it is smaller than the sum of its proper divisors (267377808).

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

135141072 is a wasteful number, since it uses less digits than its factorization.

135141072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 135141072 is about 11625.0192257906. The cubic root of 135141072 is about 513.1714104837.

The spelling of 135141072 in words is "one hundred thirty-five million, one hundred forty-one thousand, seventy-two".