135456450400 has 36 divisors (see below), whose sum is σ = 330683061492. Its totient is φ = 54182579840.

The previous prime is 135456450391. The next prime is 135456450433. The reversal of 135456450400 is 4054654531.

It is a self number, because there is not a number n which added to its sum of digits gives 135456450400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 84659482 + ... + 84661081.

It is an arithmetic number, because the mean of its divisors is an integer number (9185640597).

Almost surely, 2^135456450400 is an apocalyptic number.

135456450400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135456450400 is an abundant number, since it is smaller than the sum of its proper divisors (195226611092).

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

135456450400 is a wasteful number, since it uses less digits than its factorization.

135456450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169320583 (or 169320570 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 135456450400 in words is "one hundred thirty-five billion, four hundred fifty-six million, four hundred fifty thousand, four hundred".