148288320 has 168 divisors, whose sum is σ = 529218144. Its totient is φ = 39522816.

The previous prime is 148288319. The next prime is 148288363. The reversal of 148288320 is 23882841.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76807 + ... + 78713.

It is an arithmetic number, because the mean of its divisors is an integer number (3150108).

Almost surely, 2^148288320 is an apocalyptic number.

148288320 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 148288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264609072).

148288320 is an abundant number, since it is smaller than the sum of its proper divisors (380929824).

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

148288320 is an equidigital number, since it uses as much as digits as its factorization.

148288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 148288320 is about 12177.3691740047. The cubic root of 148288320 is about 529.3005130936.

The spelling of 148288320 in words is "one hundred forty-eight million, two hundred eighty-eight thousand, three hundred twenty".