135387140 has 48 divisors (see below), whose sum is σ = 326253312. Its totient is φ = 46229376.

The previous prime is 135387139. The next prime is 135387151. The reversal of 135387140 is 41783531.

It is a junction number, because it is equal to n+sod(n) for n = 135387097 and 135387106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34982 + ... + 38658.

It is an arithmetic number, because the mean of its divisors is an integer number (6796944).

Almost surely, 2^135387140 is an apocalyptic number.

135387140 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 135387140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163126656).

135387140 is an abundant number, since it is smaller than the sum of its proper divisors (190866172).

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

135387140 is a wasteful number, since it uses less digits than its factorization.

135387140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 135387140 is about 11635.5979648663. The cubic root of 135387140 is about 513.4826864382.

The spelling of 135387140 in words is "one hundred thirty-five million, three hundred eighty-seven thousand, one hundred forty".