148563072000 has 1760 divisors, whose sum is σ = 667684892160. Its totient is φ = 32115916800.

The previous prime is 148563071959. The next prime is 148563072019. The reversal of 148563072000 is 270365841.

148563072000 is a `hidden beast` number, since 14 + 8 + 5 + 630 + 7 + 2 + 0 + 0 + 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1669247956 + ... + 1669248044.

It is an arithmetic number, because the mean of its divisors is an integer number (379366416).

Almost surely, 2^148563072000 is an apocalyptic number.

148563072000 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 148563072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333842446080).

148563072000 is an abundant number, since it is smaller than the sum of its proper divisors (519121820160).

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

148563072000 is an equidigital number, since it uses as much as digits as its factorization.

148563072000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 148563072000 in words is "one hundred forty-eight billion, five hundred sixty-three million, seventy-two thousand".