148106851200 has 2304 divisors, whose sum is σ = 710311680000. Its totient is φ = 29082009600.

The previous prime is 148106851127. The next prime is 148106851201. The reversal of 148106851200 is 2158601841.

148106851200 is a `hidden beast` number, since 1 + 4 + 81 + 0 + 68 + 512 + 0 + 0 = 666.

148106851200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (148106851201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3151209577 + ... + 3151209623.

It is an arithmetic number, because the mean of its divisors is an integer number (308295000).

Almost surely, 2^148106851200 is an apocalyptic number.

148106851200 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 148106851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355155840000).

148106851200 is an abundant number, since it is smaller than the sum of its proper divisors (562204828800).

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

148106851200 is a wasteful number, since it uses less digits than its factorization.

148106851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 148106851200 in words is "one hundred forty-eight billion, one hundred six million, eight hundred fifty-one thousand, two hundred".