148896 has 72 divisors (see below), whose sum is σ = 471744. Its totient is φ = 44160.

The previous prime is 148891. The next prime is 148913. The reversal of 148896 is 698841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 148896.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148896.

It is not an unprimeable number, because it can be changed into a prime (148891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3145 + ... + 3191.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2¹⁴⁸⁸⁹⁶ is an apocalyptic number.

148896 is a gapful number since it is divisible by the number (16) 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 148896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872).

148896 is an abundant number, since it is smaller than the sum of its proper divisors (322848).

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

148896 is a wasteful number, since it uses less digits than its factorization.

148896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 148896 is about 385.8704445795. The cubic root of 148896 is about 53.0022545617.

Subtracting 148896 from its reverse (698841), we obtain a palindrome (549945).

The spelling of 148896 in words is "one hundred forty-eight thousand, eight hundred ninety-six".