135513240400 has 60 divisors (see below), whose sum is σ = 325633604544. Its totient is φ = 54194800000.

The previous prime is 135513240389. The next prime is 135513240413. The reversal of 135513240400 is 4042315531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2230425 + ... + 2290375.

Almost surely, 2^135513240400 is an apocalyptic number.

135513240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135513240400 is an abundant number, since it is smaller than the sum of its proper divisors (190120364144).

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

135513240400 is a wasteful number, since it uses less digits than its factorization.

135513240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65620 (or 65609 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 135513240400 its reverse (4042315531), we get a palindrome (139555555931).

The spelling of 135513240400 in words is "one hundred thirty-five billion, five hundred thirteen million, two hundred forty thousand, four hundred".