148868251195200 has 336 divisors, whose sum is σ = 489182956120320. Its totient is φ = 39635582976000.

The previous prime is 148868251195151. The next prime is 148868251195201. The reversal of 148868251195200 is 2591152868841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148868251195201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8325490260 + ... + 8325508140.

It is an arithmetic number, because the mean of its divisors is an integer number (1455901655120).

Almost surely, 2^{148868251195200} is an apocalyptic number.

148868251195200 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 148868251195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244591478060160).

148868251195200 is an abundant number, since it is smaller than the sum of its proper divisors (340314704925120).

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

148868251195200 is a wasteful number, since it uses less digits than its factorization.

148868251195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20546 (or 20531 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 60.

The spelling of 148868251195200 in words is "one hundred forty-eight trillion, eight hundred sixty-eight billion, two hundred fifty-one million, one hundred ninety-five thousand, two hundred".