148200563555312 has 160 divisors (see below), whose sum is σ = 319804149974400. Its totient is φ = 66212071833600.

The previous prime is 148200563555299. The next prime is 148200563555351. The reversal of 148200563555312 is 213555365002841.

148200563555312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×148200563555312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126484637 + ... + 127650947.

It is an arithmetic number, because the mean of its divisors is an integer number (1998775937340).

Almost surely, 2^{148200563555312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148200563555312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159902074987200).

148200563555312 is an abundant number, since it is smaller than the sum of its proper divisors (171603586419088).

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

148200563555312 is a wasteful number, since it uses less digits than its factorization.

148200563555312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166635 (or 1166629 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 50.

The spelling of 148200563555312 in words is "one hundred forty-eight trillion, two hundred billion, five hundred sixty-three million, five hundred fifty-five thousand, three hundred twelve".