135510504110400 has 168 divisors, whose sum is σ = 444611752160544. Its totient is φ = 36134153369600.

The previous prime is 135510504110393. The next prime is 135510504110419. The reversal of 135510504110400 is 4011405015531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87848179 + ... + 89377421.

Almost surely, 2^{135510504110400} is an apocalyptic number.

135510504110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135510504110400 is an abundant number, since it is smaller than the sum of its proper divisors (309101248050144).

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

135510504110400 is a wasteful number, since it uses less digits than its factorization.

135510504110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547729 (or 1547714 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 135510504110400 its reverse (4011405015531), we get a palindrome (139521909125931).

The spelling of 135510504110400 in words is "one hundred thirty-five trillion, five hundred ten billion, five hundred four million, one hundred ten thousand, four hundred".