135114042400000 has 108 divisors (see below), whose sum is σ = 337103795437164. Its totient is φ = 54045616640000.

The previous prime is 135114042399989. The next prime is 135114042400067. The reversal of 135114042400000 is 4240411531.

It can be written as a sum of positive squares in 6 ways, for example, as 65724875839744 + 69389166560256 = 8107088^2 + 8330016^2 .

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83646277 + ... + 85246276.

It is an arithmetic number, because the mean of its divisors is an integer number (3121331439233).

Almost surely, 2^{135114042400000} is an apocalyptic number.

135114042400000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135114042400000 is an abundant number, since it is smaller than the sum of its proper divisors (201989753037164).

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

135114042400000 is an frugal number, since it uses more digits than its factorization.

135114042400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168892594 (or 168892560 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 135114042400000 its reverse (4240411531), we get a palindrome (135118282811531).

The spelling of 135114042400000 in words is "one hundred thirty-five trillion, one hundred fourteen billion, forty-two million, four hundred thousand".