148201185600 has 2016 divisors, whose sum is σ = 665278669440. Its totient is φ = 31770869760.

The previous prime is 148201185569. The next prime is 148201185667. The reversal of 148201185600 is 6581102841.

148201185600 is a `hidden beast` number, since 1 + 4 + 82 + 0 + 1 + 18 + 560 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3446539179 + ... + 3446539221.

It is an arithmetic number, because the mean of its divisors is an integer number (329999340).

Almost surely, 2^148201185600 is an apocalyptic number.

148201185600 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 148201185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332639334720).

148201185600 is an abundant number, since it is smaller than the sum of its proper divisors (517077483840).

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

148201185600 is a wasteful number, since it uses less digits than its factorization.

148201185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 102 counting only the distinct ones).

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

The spelling of 148201185600 in words is "one hundred forty-eight billion, two hundred one million, one hundred eighty-five thousand, six hundred".