134765680000 has 480 divisors, whose sum is σ = 403217179200. Its totient is φ = 44674560000.

The previous prime is 134765679989. The next prime is 134765680001. The reversal of 134765680000 is 86567431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134765680001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 121519446 + ... + 121520554.

It is an arithmetic number, because the mean of its divisors is an integer number (840035790).

Almost surely, 2^134765680000 is an apocalyptic number.

134765680000 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 134765680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201608589600).

134765680000 is an abundant number, since it is smaller than the sum of its proper divisors (268451499200).

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

134765680000 is an equidigital number, since it uses as much as digits as its factorization.

134765680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 134765680000 in words is "one hundred thirty-four billion, seven hundred sixty-five million, six hundred eighty thousand".