148149033984000 has 1344 divisors, whose sum is σ = 620754795348480. Its totient is φ = 33287838105600.

The previous prime is 148149033983971. The next prime is 148149033984041. The reversal of 148149033984000 is 489330941841.

148149033984000 is a `hidden beast` number, since 1 + 4 + 8 + 149 + 0 + 3 + 3 + 98 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3806188539 + ... + 3806227461.

Almost surely, 2^{148149033984000} is an apocalyptic number.

148149033984000 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 148149033984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310377397674240).

148149033984000 is an abundant number, since it is smaller than the sum of its proper divisors (472605761364480).

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

148149033984000 is an equidigital number, since it uses as much as digits as its factorization.

148149033984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39036 (or 38999 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 148149033984000 in words is "one hundred forty-eight trillion, one hundred forty-nine billion, thirty-three million, nine hundred eighty-four thousand".