146448 has 50 divisors (see below), whose sum is σ = 427614. Its totient is φ = 48384.

The previous prime is 146437. The next prime is 146449. The reversal of 146448 is 844641.

146448 is a `hidden beast` number, since 14 + 644 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 63504 = 288^2 + 252^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 146448.

It is not an unprimeable number, because it can be changed into a prime (146449) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1240 + ... + 1352.

2¹⁴⁶⁴⁴⁸ is an apocalyptic number.

146448 is a gapful number since it is divisible by the number (18) 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 146448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213807).

146448 is an abundant number, since it is smaller than the sum of its proper divisors (281166).

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

146448 is a wasteful number, since it uses less digits than its factorization.

146448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 146448 is about 382.6852492584. The cubic root of 146448 is about 52.7101778618.

The spelling of 146448 in words is "one hundred forty-six thousand, four hundred forty-eight".