135275760000 has 240 divisors, whose sum is σ = 486434494260. Its totient is φ = 36073344000.

The previous prime is 135275759987. The next prime is 135275760007. The reversal of 135275760000 is 67572531.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135275760007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 626059 + ... + 813941.

Almost surely, 2^135275760000 is an apocalyptic number.

135275760000 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 135275760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243217247130).

135275760000 is an abundant number, since it is smaller than the sum of its proper divisors (351158734260).

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

135275760000 is an equidigital number, since it uses as much as digits as its factorization.

135275760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187923 (or 187893 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 135275760000 in words is "one hundred thirty-five billion, two hundred seventy-five million, seven hundred sixty thousand".