149975200 has 36 divisors (see below), whose sum is σ = 366128910. Its totient is φ = 59989760.

The previous prime is 149975183. The next prime is 149975201. The reversal of 149975200 is 2579941.

It can be written as a sum of positive squares in 3 ways, for example, as 121969936 + 28005264 = 11044^2 + 5292^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 149975200.

It is not an unprimeable number, because it can be changed into a prime (149975201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92935 + ... + 94534.

Almost surely, 2^149975200 is an apocalyptic number.

149975200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149975200 is an abundant number, since it is smaller than the sum of its proper divisors (216153710).

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

149975200 is a wasteful number, since it uses less digits than its factorization.

149975200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187489 (or 187476 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 149975200 is about 12246.4362163039. The cubic root of 149975200 is about 531.3000008301.

The spelling of 149975200 in words is "one hundred forty-nine million, nine hundred seventy-five thousand, two hundred".