148436746080 has 768 divisors, whose sum is σ = 584602583040. Its totient is φ = 30904934400.

The previous prime is 148436746067. The next prime is 148436746121. The reversal of 148436746080 is 80647634841.

148436746080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 183028875 + ... + 183029685.

It is an arithmetic number, because the mean of its divisors is an integer number (761201280).

Almost surely, 2^148436746080 is an apocalyptic number.

148436746080 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 148436746080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292301291520).

148436746080 is an abundant number, since it is smaller than the sum of its proper divisors (436165836960).

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

148436746080 is a wasteful number, since it uses less digits than its factorization.

148436746080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 148436746080 in words is "one hundred forty-eight billion, four hundred thirty-six million, seven hundred forty-six thousand, eighty".