134793009792 has 896 divisors, whose sum is σ = 497673504000. Its totient is φ = 35473489920.

The previous prime is 134793009779. The next prime is 134793009797. The reversal of 134793009792 is 297900397431.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (134793009797) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 677351709 + ... + 677351907.

Almost surely, 2^134793009792 is an apocalyptic number.

134793009792 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 134793009792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248836752000).

134793009792 is an abundant number, since it is smaller than the sum of its proper divisors (362880494208).

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

134793009792 is an equidigital number, since it uses as much as digits as its factorization.

134793009792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 134793009792 in words is "one hundred thirty-four billion, seven hundred ninety-three million, nine thousand, seven hundred ninety-two".