148303872000 has 768 divisors, whose sum is σ = 558200916000. Its totient is φ = 39282278400.

The previous prime is 148303871977. The next prime is 148303872023. The reversal of 148303872000 is 278303841.

148303872000 is a `hidden beast` number, since 1 + 48 + 30 + 387 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (148303871977) and next prime (148303872023).

It is a tau number, because it is divible by the number of its divisors (768).

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 995327926 + ... + 995328074.

Almost surely, 2^148303872000 is an apocalyptic number.

148303872000 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 148303872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279100458000).

148303872000 is an abundant number, since it is smaller than the sum of its proper divisors (409897044000).

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

148303872000 is an frugal number, since it uses more digits than its factorization.

148303872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 148303872000 in words is "one hundred forty-eight billion, three hundred three million, eight hundred seventy-two thousand".