134376816 has 240 divisors, whose sum is σ = 443304960. Its totient is φ = 34836480.

The previous prime is 134376811. The next prime is 134376817. The reversal of 134376816 is 618673431.

134376816 is nontrivially palindromic in base 13.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134376811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385280 + ... + 1385376.

It is an arithmetic number, because the mean of its divisors is an integer number (1847104).

Almost surely, 2^134376816 is an apocalyptic number.

134376816 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 134376816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221652480).

134376816 is an abundant number, since it is smaller than the sum of its proper divisors (308928144).

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

134376816 is a wasteful number, since it uses less digits than its factorization.

134376816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 159 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 134376816 is about 11592.1014488314. The cubic root of 134376816 is about 512.2022109805.

The spelling of 134376816 in words is "one hundred thirty-four million, three hundred seventy-six thousand, eight hundred sixteen".