148864320 has 336 divisors, whose sum is σ = 578193408. Its totient is φ = 34836480.

The previous prime is 148864307. The next prime is 148864321. The reversal of 148864320 is 23468841.

148864320 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 643 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148864321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1172097 + ... + 1172223.

Almost surely, 2^148864320 is an apocalyptic number.

148864320 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 148864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289096704).

148864320 is an abundant number, since it is smaller than the sum of its proper divisors (429329088).

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

148864320 is a wasteful number, since it uses less digits than its factorization.

148864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 148864320 is about 12200.9966805995. The cubic root of 148864320 is about 529.9849526996.

It can be divided in two parts, 148 and 864320, that added together give a palindrome (864468).

The spelling of 148864320 in words is "one hundred forty-eight million, eight hundred sixty-four thousand, three hundred twenty".