148836096000 has 768 divisors, whose sum is σ = 560832854400. Its totient is φ = 38928384000.

The previous prime is 148836095987. The next prime is 148836096077. The reversal of 148836096000 is 690638841.

148836096000 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 36 + 0 + 9 + 600 + 0 = 666.

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 (45).

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 63 ways as a sum of consecutive naturals, for example, 421631824 + ... + 421632176.

Almost surely, 2^148836096000 is an apocalyptic number.

148836096000 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 148836096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280416427200).

148836096000 is an abundant number, since it is smaller than the sum of its proper divisors (411996758400).

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

148836096000 is an equidigital number, since it uses as much as digits as its factorization.

148836096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 148836096000 in words is "one hundred forty-eight billion, eight hundred thirty-six million, ninety-six thousand".