148128111331200 has 11520 divisors, whose sum is σ = 812483567723520. Its totient is φ = 25751126016000.

The previous prime is 148128111331177. The next prime is 148128111331229. The reversal of 148128111331200 is 2133111821841.

It is a happy number.

148128111331200 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 2 + 8 + 111 + 331 + 200 = 666.

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 1439 ways as a sum of consecutive naturals, for example, 2086311427165 + ... + 2086311427235.

It is an arithmetic number, because the mean of its divisors is an integer number (70528087476).

Almost surely, 2^{148128111331200} is an apocalyptic number.

148128111331200 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 148128111331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406241783861760).

148128111331200 is an abundant number, since it is smaller than the sum of its proper divisors (664355456392320).

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

148128111331200 is a wasteful number, since it uses less digits than its factorization.

148128111331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 148128111331200 in words is "one hundred forty-eight trillion, one hundred twenty-eight billion, one hundred eleven million, three hundred thirty-one thousand, two hundred".