148728729600 has 936 divisors, whose sum is σ = 616040785152. Its totient is φ = 33895219200.

The previous prime is 148728729571. The next prime is 148728729601. The reversal of 148728729600 is 6927827841.

It is a happy number.

148728729600 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 2 + 8 + 7 + 29 + 600 = 666.

It is a super-3 number, since 3×148728729600³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148728729601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172338769 + ... + 172339631.

It is an arithmetic number, because the mean of its divisors is an integer number (658163232).

Almost surely, 2^148728729600 is an apocalyptic number.

148728729600 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 148728729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308020392576).

148728729600 is an abundant number, since it is smaller than the sum of its proper divisors (467312055552).

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

148728729600 is a wasteful number, since it uses less digits than its factorization.

148728729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 148728729600 in words is "one hundred forty-eight billion, seven hundred twenty-eight million, seven hundred twenty-nine thousand, six hundred".