135440314300 has 72 divisors (see below), whose sum is σ = 304178656320. Its totient is φ = 52309708800.

The previous prime is 135440314297. The next prime is 135440314327. The reversal of 135440314300 is 3413044531.

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, 227421 + ... + 567979.

It is an arithmetic number, because the mean of its divisors is an integer number (4224703560).

Almost surely, 2^135440314300 is an apocalyptic number.

135440314300 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 135440314300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152089328160).

135440314300 is an abundant number, since it is smaller than the sum of its proper divisors (168738342020).

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

135440314300 is a wasteful number, since it uses less digits than its factorization.

135440314300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340711 (or 340704 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 135440314300 its reverse (3413044531), we get a palindrome (138853358831).

The spelling of 135440314300 in words is "one hundred thirty-five billion, four hundred forty million, three hundred fourteen thousand, three hundred".