134135326752 has 288 divisors, whose sum is σ = 416713429440. Its totient is φ = 37664040960.

The previous prime is 134135326733. The next prime is 134135326753. The reversal of 134135326752 is 257623531431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (134135326753) 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 47 ways as a sum of consecutive naturals, for example, 67167418 + ... + 67169414.

It is an arithmetic number, because the mean of its divisors is an integer number (1446921630).

Almost surely, 2^134135326752 is an apocalyptic number.

134135326752 is a gapful number since it is divisible by the number (12) 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 134135326752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208356714720).

134135326752 is an abundant number, since it is smaller than the sum of its proper divisors (282578102688).

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

134135326752 is a wasteful number, since it uses less digits than its factorization.

134135326752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2249 counting only the distinct ones).

The product of its digits is 453600, while the sum is 42.

The spelling of 134135326752 in words is "one hundred thirty-four billion, one hundred thirty-five million, three hundred twenty-six thousand, seven hundred fifty-two".