135420511324400 has 60 divisors (see below), whose sum is σ = 325376680832664. Its totient is φ = 54163392480000.

The previous prime is 135420511324391. The next prime is 135420511324457. The reversal of 135420511324400 is 4423115024531.

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, 10527626 + ... + 19536425.

Almost surely, 2^{135420511324400} is an apocalyptic number.

135420511324400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135420511324400 is an abundant number, since it is smaller than the sum of its proper divisors (189956169508264).

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

135420511324400 is a wasteful number, since it uses less digits than its factorization.

135420511324400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30075330 (or 30075319 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 135420511324400 its reverse (4423115024531), we get a palindrome (139843626348931).

The spelling of 135420511324400 in words is "one hundred thirty-five trillion, four hundred twenty billion, five hundred eleven million, three hundred twenty-four thousand, four hundred".