134031772984512 has 896 divisors, whose sum is σ = 408669798620160. Its totient is φ = 38470621593600.

The previous prime is 134031772984511. The next prime is 134031772984531. The reversal of 134031772984512 is 215489277130431.

It is a happy number.

134031772984512 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (134031772984511) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 223014597012 + ... + 223014597612.

It is an arithmetic number, because the mean of its divisors is an integer number (456104685960).

Almost surely, 2^{134031772984512} is an apocalyptic number.

134031772984512 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 134031772984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204334899310080).

134031772984512 is an abundant number, since it is smaller than the sum of its proper divisors (274638025635648).

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

134031772984512 is a wasteful number, since it uses less digits than its factorization.

134031772984512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 134031772984512 in words is "one hundred thirty-four trillion, thirty-one billion, seven hundred seventy-two million, nine hundred eighty-four thousand, five hundred twelve".