148729748800 has 168 divisors, whose sum is σ = 373713268320. Its totient is φ = 58241280000.

The previous prime is 148729748779. The next prime is 148729748807. The reversal of 148729748800 is 8847927841.

148729748800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×148729748800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148729748807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23691262 + ... + 23697538.

It is an arithmetic number, because the mean of its divisors is an integer number (2224483740).

Almost surely, 2^148729748800 is an apocalyptic number.

148729748800 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 148729748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186856634160).

148729748800 is an abundant number, since it is smaller than the sum of its proper divisors (224983519520).

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

148729748800 is a wasteful number, since it uses less digits than its factorization.

148729748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 58.

The spelling of 148729748800 in words is "one hundred forty-eight billion, seven hundred twenty-nine million, seven hundred forty-eight thousand, eight hundred".