135353140 has 24 divisors (see below), whose sum is σ = 306106920. Its totient is φ = 49976448.

The previous prime is 135353129. The next prime is 135353143. The reversal of 135353140 is 41353531.

135353140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4571044 + 130782096 = 2138^2 + 11436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135353143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260035 + ... + 260554.

It is an arithmetic number, because the mean of its divisors is an integer number (12754455).

Almost surely, 2^135353140 is an apocalyptic number.

135353140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135353140 is an abundant number, since it is smaller than the sum of its proper divisors (170753780).

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

135353140 is a wasteful number, since it uses less digits than its factorization.

135353140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520611 (or 520609 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 135353140 is about 11634.1368394909. The cubic root of 135353140 is about 513.4396989162.

The spelling of 135353140 in words is "one hundred thirty-five million, three hundred fifty-three thousand, one hundred forty".