135041040110400 has 168 divisors, whose sum is σ = 443194924632000. Its totient is φ = 35998932541440.

The previous prime is 135041040110387. The next prime is 135041040110429. The reversal of 135041040110400 is 4011040140531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9704712 + ... + 19085688.

Almost surely, 2^{135041040110400} is an apocalyptic number.

135041040110400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135041040110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221597462316000).

135041040110400 is an abundant number, since it is smaller than the sum of its proper divisors (308153884521600).

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

135041040110400 is a wasteful number, since it uses less digits than its factorization.

135041040110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9384001 (or 9383986 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 135041040110400 its reverse (4011040140531), we get a palindrome (139052080250931).

The spelling of 135041040110400 in words is "one hundred thirty-five trillion, forty-one billion, forty million, one hundred ten thousand, four hundred".