134032714130016 has 384 divisors, whose sum is σ = 445385162880000. Its totient is φ = 38873919541248.

The previous prime is 134032714129913. The next prime is 134032714130041. The reversal of 134032714130016 is 610031417230431.

134032714130016 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 327 + 14 + 1 + 300 + 16 = 666.

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

It is a congruent number.

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, 40890156 + ... + 44046228.

It is an arithmetic number, because the mean of its divisors is an integer number (1159857195000).

Almost surely, 2^{134032714130016} is an apocalyptic number.

134032714130016 is a gapful number since it is divisible by the number (16) 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 134032714130016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222692581440000).

134032714130016 is an abundant number, since it is smaller than the sum of its proper divisors (311352448749984).

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

134032714130016 is a wasteful number, since it uses less digits than its factorization.

134032714130016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156323 (or 3156309 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 134032714130016 in words is "one hundred thirty-four trillion, thirty-two billion, seven hundred fourteen million, one hundred thirty thousand, sixteen".