135054230242400 has 72 divisors (see below), whose sum is σ = 376801302391920. Its totient is φ = 46304307509760.

The previous prime is 135054230242387. The next prime is 135054230242411. The reversal of 135054230242400 is 4242032450531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 12058407815 + ... + 12058419014.

It is an arithmetic number, because the mean of its divisors is an integer number (5233351422110).

Almost surely, 2^{135054230242400} is an apocalyptic number.

135054230242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135054230242400 is an abundant number, since it is smaller than the sum of its proper divisors (241747072149520).

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

135054230242400 is a wasteful number, since it uses less digits than its factorization.

135054230242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24116826856 (or 24116826843 counting only the distinct ones).

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

Adding to 135054230242400 its reverse (4242032450531), we get a palindrome (139296262692931).

The spelling of 135054230242400 in words is "one hundred thirty-five trillion, fifty-four billion, two hundred thirty million, two hundred forty-two thousand, four hundred".