148217328 has 240 divisors, whose sum is σ = 510681600. Its totient is φ = 39191040.

The previous prime is 148217323. The next prime is 148217341. The reversal of 148217328 is 823712841.

148217328 is a `hidden beast` number, since 1 + 482 + 173 + 2 + 8 = 666.

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 junction number, because it is equal to n+sod(n) for n = 148217292 and 148217301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148217323) 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, 1359738 + ... + 1359846.

It is an arithmetic number, because the mean of its divisors is an integer number (2127840).

Almost surely, 2^148217328 is an apocalyptic number.

148217328 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 148217328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255340800).

148217328 is an abundant number, since it is smaller than the sum of its proper divisors (362464272).

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

148217328 is a wasteful number, since it uses less digits than its factorization.

148217328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 148217328 is about 12174.4539097242. The cubic root of 148217328 is about 529.2160332999.

The spelling of 148217328 in words is "one hundred forty-eight million, two hundred seventeen thousand, three hundred twenty-eight".