135755974900000 has 864 divisors, whose sum is σ = 419308596532224. Its totient is φ = 42881529600000.

The previous prime is 135755974899983. The next prime is 135755974900009. The reversal of 135755974900000 is 9479557531.

It is not an unprimeable number, because it can be changed into a prime (135755974900009) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 38665898245 + ... + 38665901755.

It is an arithmetic number, because the mean of its divisors is an integer number (485310875616).

Almost surely, 2^{135755974900000} is an apocalyptic number.

135755974900000 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 135755974900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209654298266112).

135755974900000 is an abundant number, since it is smaller than the sum of its proper divisors (283552621632224).

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

135755974900000 is an equidigital number, since it uses as much as digits as its factorization.

135755974900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 5953500, while the sum is 55.

The spelling of 135755974900000 in words is "one hundred thirty-five trillion, seven hundred fifty-five billion, nine hundred seventy-four million, nine hundred thousand".