135353010400 has 36 divisors (see below), whose sum is σ = 330430538592. Its totient is φ = 54141203840.

The previous prime is 135353010389. The next prime is 135353010469. The reversal of 135353010400 is 4010353531.

135353010400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84594832 + ... + 84596431.

It is an arithmetic number, because the mean of its divisors is an integer number (9178626072).

Almost surely, 2^135353010400 is an apocalyptic number.

135353010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135353010400 is an abundant number, since it is smaller than the sum of its proper divisors (195077528192).

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

135353010400 is a wasteful number, since it uses less digits than its factorization.

135353010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169191283 (or 169191270 counting only the distinct ones).

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

Adding to 135353010400 its reverse (4010353531), we get a palindrome (139363363931).

The spelling of 135353010400 in words is "one hundred thirty-five billion, three hundred fifty-three million, ten thousand, four hundred".