134491612968960 has 384 divisors, whose sum is σ = 463560673343040. Its totient is φ = 33091693314048.

The previous prime is 134491612968943. The next prime is 134491612968967. The reversal of 134491612968960 is 69869216194431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134491612968967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965183454 + ... + 965322786.

Almost surely, 2^{134491612968960} is an apocalyptic number.

134491612968960 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 134491612968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231780336671520).

134491612968960 is an abundant number, since it is smaller than the sum of its proper divisors (329069060374080).

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

134491612968960 is a wasteful number, since it uses less digits than its factorization.

134491612968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141793 (or 141773 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 69.

The spelling of 134491612968960 in words is "one hundred thirty-four trillion, four hundred ninety-one billion, six hundred twelve million, nine hundred sixty-eight thousand, nine hundred sixty".