149163148339200 has 1152 divisors, whose sum is σ = 563397184022400. Its totient is φ = 38654611292160.

The previous prime is 149163148339187. The next prime is 149163148339243. The reversal of 149163148339200 is 2933841361941.

149163148339200 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 63 + 1 + 48 + 339 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65623909264 + ... + 65623911536.

It is an arithmetic number, because the mean of its divisors is an integer number (489060055575).

Almost surely, 2^{149163148339200} is an apocalyptic number.

149163148339200 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 149163148339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281698592011200).

149163148339200 is an abundant number, since it is smaller than the sum of its proper divisors (414234035683200).

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

149163148339200 is a wasteful number, since it uses less digits than its factorization.

149163148339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3634 (or 3603 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 149163148339200 in words is "one hundred forty-nine trillion, one hundred sixty-three billion, one hundred forty-eight million, three hundred thirty-nine thousand, two hundred".