134448384 has 144 divisors (see below), whose sum is σ = 415013760. Its totient is φ = 37847040.

The previous prime is 134448383. The next prime is 134448397. The reversal of 134448384 is 483844431.

It is a super-2 number, since 2×134448384² = 36152735920422912, which contains 22 as substring.

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 (134448383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478324 + ... + 478604.

It is an arithmetic number, because the mean of its divisors is an integer number (2882040).

Almost surely, 2^134448384 is an apocalyptic number.

134448384 is a gapful number since it is divisible by the number (14) 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 134448384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207506880).

134448384 is an abundant number, since it is smaller than the sum of its proper divisors (280565376).

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

134448384 is an equidigital number, since it uses as much as digits as its factorization.

134448384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 134448384 is about 11595.1879674286. The cubic root of 134448384 is about 512.2931264203.

It can be divided in two parts, 1344 and 48384, that multiplied together give a square (65028096 = 8064²).

The spelling of 134448384 in words is "one hundred thirty-four million, four hundred forty-eight thousand, three hundred eighty-four".