134164320 has 192 divisors, whose sum is σ = 455777280. Its totient is φ = 33067008.

The previous prime is 134164319. The next prime is 134164333. The reversal of 134164320 is 23461431.

It is a super-2 number, since 2×134164320² = 36000129522124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428484 + ... + 428796.

It is an arithmetic number, because the mean of its divisors is an integer number (2373840).

Almost surely, 2^134164320 is an apocalyptic number.

134164320 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 134164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227888640).

134164320 is an abundant number, since it is smaller than the sum of its proper divisors (321612960).

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

134164320 is a wasteful number, since it uses less digits than its factorization.

134164320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 134164320 is about 11582.9322712343. The cubic root of 134164320 is about 511.9320792063.

The spelling of 134164320 in words is "one hundred thirty-four million, one hundred sixty-four thousand, three hundred twenty".