135110144000 has 416 divisors, whose sum is σ = 370949289984. Its totient is φ = 48817766400.

The previous prime is 135110143997. The next prime is 135110144003. The reversal of 135110144000 is 441011531.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (135110143997) and next prime (135110144003).

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135110144003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 352767809 + ... + 352768191.

It is an arithmetic number, because the mean of its divisors is an integer number (891705024).

Almost surely, 2^135110144000 is an apocalyptic number.

135110144000 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 135110144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185474644992).

135110144000 is an abundant number, since it is smaller than the sum of its proper divisors (235839145984).

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

135110144000 is an equidigital number, since it uses as much as digits as its factorization.

135110144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 135110144000 its reverse (441011531), we get a palindrome (135551155531).

The spelling of 135110144000 in words is "one hundred thirty-five billion, one hundred ten million, one hundred forty-four thousand".