135168000000 has 532 divisors, whose sum is σ = 491512771056. Its totient is φ = 32768000000.

The previous prime is 135167999977. The next prime is 135168000013. The reversal of 135168000000 is 861531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 12287999995 + ... + 12288000005.

Almost surely, 2^135168000000 is an apocalyptic number.

135168000000 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 135168000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245756385528).

135168000000 is an abundant number, since it is smaller than the sum of its proper divisors (356344771056).

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

135168000000 is an frugal number, since it uses more digits than its factorization.

135168000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 135168000000 its reverse (861531), we get a palindrome (135168861531).

The spelling of 135168000000 in words is "one hundred thirty-five billion, one hundred sixty-eight million", and thus it is an aban number.