135435044002400 has 144 divisors (see below), whose sum is σ = 339813265559040. Its totient is φ = 52689936499200.

The previous prime is 135435044002367. The next prime is 135435044002409. The reversal of 135435044002400 is 4200440534531.

It is a super-2 number, since 2×135435044002400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135435044002409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11757836 + ... + 20226635.

It is an arithmetic number, because the mean of its divisors is an integer number (2359814344160).

Almost surely, 2^{135435044002400} is an apocalyptic number.

135435044002400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135435044002400 is an abundant number, since it is smaller than the sum of its proper divisors (204378221556640).

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

135435044002400 is a wasteful number, since it uses less digits than its factorization.

135435044002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31984637 (or 31984624 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 135435044002400 its reverse (4200440534531), we get a palindrome (139635484536931).

The spelling of 135435044002400 in words is "one hundred thirty-five trillion, four hundred thirty-five billion, forty-four million, two thousand, four hundred".