149313067200 has 1680 divisors, whose sum is σ = 650723359968. Its totient is φ = 33177600000.

The previous prime is 149313067171. The next prime is 149313067223. The reversal of 149313067200 is 2760313941.

149313067200 is a `hidden beast` number, since 149 + 3 + 1 + 306 + 7 + 200 = 666.

149313067200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1478347150 + ... + 1478347250.

Almost surely, 2^149313067200 is an apocalyptic number.

149313067200 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 149313067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325361679984).

149313067200 is an abundant number, since it is smaller than the sum of its proper divisors (501410292768).

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

149313067200 is a wasteful number, since it uses less digits than its factorization.

149313067200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 149313067200 in words is "one hundred forty-nine billion, three hundred thirteen million, sixty-seven thousand, two hundred".