148309704000 has 1344 divisors, whose sum is σ = 598156296192. Its totient is φ = 36267264000.

The previous prime is 148309703981. The next prime is 148309704007. The reversal of 148309704000 is 407903841.

It is a happy number.

148309704000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148309704007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1386071947 + ... + 1386072053.

It is an arithmetic number, because the mean of its divisors is an integer number (445056768).

Almost surely, 2^148309704000 is an apocalyptic number.

148309704000 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 148309704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299078148096).

148309704000 is an abundant number, since it is smaller than the sum of its proper divisors (449846592192).

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

148309704000 is a wasteful number, since it uses less digits than its factorization.

148309704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 148309704000 in words is "one hundred forty-eight billion, three hundred nine million, seven hundred four thousand".