134190120960 has 960 divisors, whose sum is σ = 557154339840. Its totient is φ = 30385373184.

The previous prime is 134190120937. The next prime is 134190120971. The reversal of 134190120960 is 69021091431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254113227 + ... + 1254113333.

It is an arithmetic number, because the mean of its divisors is an integer number (580369104).

Almost surely, 2^134190120960 is an apocalyptic number.

134190120960 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 134190120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278577169920).

134190120960 is an abundant number, since it is smaller than the sum of its proper divisors (422964218880).

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

134190120960 is an frugal number, since it uses more digits than its factorization.

134190120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 134190120960 in words is "one hundred thirty-four billion, one hundred ninety million, one hundred twenty thousand, nine hundred sixty".