134584320 has 192 divisors, whose sum is σ = 465060960. Its totient is φ = 33030144.

The previous prime is 134584319. The next prime is 134584349. The reversal of 134584320 is 23485431.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×134584320² = 36225878379724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399192 + ... + 399528.

Almost surely, 2^134584320 is an apocalyptic number.

134584320 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 134584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232530480).

134584320 is an abundant number, since it is smaller than the sum of its proper divisors (330476640).

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

134584320 is a wasteful number, since it uses less digits than its factorization.

134584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 134584320 is about 11601.0482285007. The cubic root of 134584320 is about 512.4657220778.

The spelling of 134584320 in words is "one hundred thirty-four million, five hundred eighty-four thousand, three hundred twenty".