135141840 has 240 divisors, whose sum is σ = 491124816. Its totient is φ = 33177600.

The previous prime is 135141821. The next prime is 135141841. The reversal of 135141840 is 48141531.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 38787984 + 96353856 = 6228^2 + 9816^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135141841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746550 + ... + 746730.

Almost surely, 2^135141840 is an apocalyptic number.

135141840 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 135141840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245562408).

135141840 is an abundant number, since it is smaller than the sum of its proper divisors (355982976).

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

135141840 is a wasteful number, since it uses less digits than its factorization.

135141840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 135141840 is about 11625.0522579471. The cubic root of 135141840 is about 513.1723825911.

It can be divided in two parts, 135141 and 840, that added together give a triangular number (135981 = T₅₂₁).

The spelling of 135141840 in words is "one hundred thirty-five million, one hundred forty-one thousand, eight hundred forty".