148660012800 has 1728 divisors, whose sum is σ = 640128473600. Its totient is φ = 33861058560.

The previous prime is 148660012793. The next prime is 148660012801. The reversal of 148660012800 is 8210066841.

148660012800 is a `hidden beast` number, since 1 + 48 + 6 + 600 + 1 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 (148660012801) 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, 3457209579 + ... + 3457209621.

Almost surely, 2^148660012800 is an apocalyptic number.

148660012800 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 148660012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320064236800).

148660012800 is an abundant number, since it is smaller than the sum of its proper divisors (491468460800).

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

148660012800 is an equidigital number, since it uses as much as digits as its factorization.

148660012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 148660012800 in words is "one hundred forty-eight billion, six hundred sixty million, twelve thousand, eight hundred".