135095940 has 324 divisors, whose sum is σ = 515940516. Its totient is φ = 28514304.

The previous prime is 135095929. The next prime is 135095941. The reversal of 135095940 is 49590531.

135095940 is a `hidden beast` number, since 13 + 50 + 9 + 594 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14930496 + 120165444 = 3864^2 + 10962^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135095895 and 135095904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135095941) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2548954 + ... + 2549006.

It is an arithmetic number, because the mean of its divisors is an integer number (1592409).

Almost surely, 2^135095940 is an apocalyptic number.

135095940 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 135095940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257970258).

135095940 is an abundant number, since it is smaller than the sum of its proper divisors (380844576).

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

135095940 is a wasteful number, since it uses less digits than its factorization.

135095940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 135095940 is about 11623.0779056152. The cubic root of 135095940 is about 513.1142775177.

The spelling of 135095940 in words is "one hundred thirty-five million, ninety-five thousand, nine hundred forty".