148115968000 has 1248 divisors, whose sum is σ = 527228851968. Its totient is φ = 40108032000.

The previous prime is 148115967973. The next prime is 148115968037. The reversal of 148115968000 is 869511841.

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 95 ways as a sum of consecutive naturals, for example, 8712703992 + ... + 8712704008.

It is an arithmetic number, because the mean of its divisors is an integer number (422459016).

Almost surely, 2^148115968000 is an apocalyptic number.

148115968000 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 148115968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263614425984).

148115968000 is an abundant number, since it is smaller than the sum of its proper divisors (379112883968).

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

148115968000 is a wasteful number, since it uses less digits than its factorization.

148115968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 43.

The spelling of 148115968000 in words is "one hundred forty-eight billion, one hundred fifteen million, nine hundred sixty-eight thousand".