149533200 has 180 divisors, whose sum is σ = 526954740. Its totient is φ = 39260160.

The previous prime is 149533183. The next prime is 149533201. The reversal of 149533200 is 2335941.

It can be written as a sum of positive squares in 6 ways, for example, as 12362256 + 137170944 = 3516^2 + 11712^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (149533201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262516 + ... + 263084.

Almost surely, 2^149533200 is an apocalyptic number.

149533200 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 149533200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263477370).

149533200 is an abundant number, since it is smaller than the sum of its proper divisors (377421540).

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

149533200 is a wasteful number, since it uses less digits than its factorization.

149533200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 149533200 is about 12228.3768342327. The cubic root of 149533200 is about 530.7775462805. Note that the first 3 decimals are identical.

The spelling of 149533200 in words is "one hundred forty-nine million, five hundred thirty-three thousand, two hundred".