135343002400 has 36 divisors (see below), whose sum is σ = 330406106562. Its totient is φ = 54137200640.

The previous prime is 135343002397. The next prime is 135343002401. The reversal of 135343002400 is 4200343531.

It can be written as a sum of positive squares in 3 ways, for example, as 52934965776 + 82408036624 = 230076^2 + 287068^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (135343002401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84588577 + ... + 84590176.

Almost surely, 2^135343002400 is an apocalyptic number.

135343002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135343002400 is an abundant number, since it is smaller than the sum of its proper divisors (195063104162).

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

135343002400 is a wasteful number, since it uses less digits than its factorization.

135343002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169178773 (or 169178760 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 135343002400 its reverse (4200343531), we get a palindrome (139543345931).

The spelling of 135343002400 in words is "one hundred thirty-five billion, three hundred forty-three million, two thousand, four hundred".