149148979200 has 936 divisors, whose sum is σ = 587837271840. Its totient is φ = 35920281600.

The previous prime is 149148979181. The next prime is 149148979201. The reversal of 149148979200 is 2979841941.

149148979200 is a `hidden beast` number, since 1 + 4 + 91 + 489 + 79 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149148979201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 706867095 + ... + 706867305.

Almost surely, 2^149148979200 is an apocalyptic number.

149148979200 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 149148979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293918635920).

149148979200 is an abundant number, since it is smaller than the sum of its proper divisors (438688292640).

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

149148979200 is a wasteful number, since it uses less digits than its factorization.

149148979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 149148979200 in words is "one hundred forty-nine billion, one hundred forty-eight million, nine hundred seventy-nine thousand, two hundred".