146638848 has 96 divisors (see below), whose sum is σ = 404913600. Its totient is φ = 47136768.

The previous prime is 146638847. The next prime is 146638861. The reversal of 146638848 is 848836641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 146638797 and 146638806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146638847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177765 + ... + 178587.

It is an arithmetic number, because the mean of its divisors is an integer number (4217850).

Almost surely, 2^146638848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202456800).

146638848 is an abundant number, since it is smaller than the sum of its proper divisors (258274752).

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

146638848 is an equidigital number, since it uses as much as digits as its factorization.

146638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 857 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 146638848 is about 12109.4528365240. The cubic root of 146638848 is about 527.3306486005.

The spelling of 146638848 in words is "one hundred forty-six million, six hundred thirty-eight thousand, eight hundred forty-eight".