149855323507200 has 720 divisors, whose sum is σ = 540478880637696. Its totient is φ = 39650549760000.

The previous prime is 149855323507177. The next prime is 149855323507213. The reversal of 149855323507200 is 2705323558941.

149855323507200 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 5 + 532 + 35 + 0 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 7886697700 + ... + 7886716700.

Almost surely, 2^{149855323507200} is an apocalyptic number.

149855323507200 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 149855323507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270239440318848).

149855323507200 is an abundant number, since it is smaller than the sum of its proper divisors (390623557130496).

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

149855323507200 is a wasteful number, since it uses less digits than its factorization.

149855323507200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19565 (or 19541 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 149855323507200 in words is "one hundred forty-nine trillion, eight hundred fifty-five billion, three hundred twenty-three million, five hundred seven thousand, two hundred".