148760478720000 has 6720 divisors, whose sum is σ = 715380444979200. Its totient is φ = 30098718720000.

The previous prime is 148760478719989. The next prime is 148760478720001. The reversal of 148760478720000 is 27874067841.

148760478720000 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 604 + 7 + 8 + 7 + 20 + 0 + 0 + 0 = 666.

148760478720000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148760478720001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4798725119985 + ... + 4798725120015.

It is an arithmetic number, because the mean of its divisors is an integer number (106455423360).

Almost surely, 2^{148760478720000} is an apocalyptic number.

148760478720000 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 148760478720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357690222489600).

148760478720000 is an abundant number, since it is smaller than the sum of its proper divisors (566619966259200).

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

148760478720000 is an frugal number, since it uses more digits than its factorization.

148760478720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 148760478720000 in words is "one hundred forty-eight trillion, seven hundred sixty billion, four hundred seventy-eight million, seven hundred twenty thousand".