149778712800 has 216 divisors, whose sum is σ = 546370264440. Its totient is φ = 38563660800.

The previous prime is 149778712799. The next prime is 149778712849. The reversal of 149778712800 is 8217877941.

149778712800 is a `hidden beast` number, since 1 + 497 + 7 + 8 + 71 + 2 + 80 + 0 = 666.

149778712800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 149866 + ... + 567465.

It is an arithmetic number, because the mean of its divisors is an integer number (2529491965).

Almost surely, 2^149778712800 is an apocalyptic number.

149778712800 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 149778712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273185132220).

149778712800 is an abundant number, since it is smaller than the sum of its proper divisors (396591551640).

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

149778712800 is a wasteful number, since it uses less digits than its factorization.

149778712800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717386 (or 717370 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 149778712800 in words is "one hundred forty-nine billion, seven hundred seventy-eight million, seven hundred twelve thousand, eight hundred".