149549200 has 60 divisors (see below), whose sum is σ = 362047140. Its totient is φ = 59361280.

The previous prime is 149549173. The next prime is 149549249. The reversal of 149549200 is 2945941.

It can be written as a sum of positive squares in 6 ways, for example, as 5837056 + 143712144 = 2416^2 + 11988^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53436 + ... + 56164.

It is an arithmetic number, because the mean of its divisors is an integer number (6034119).

Almost surely, 2^149549200 is an apocalyptic number.

149549200 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 149549200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181023570).

149549200 is an abundant number, since it is smaller than the sum of its proper divisors (212497940).

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

149549200 is a wasteful number, since it uses less digits than its factorization.

149549200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 149549200 is about 12229.0310327515. The cubic root of 149549200 is about 530.7964766091.

The spelling of 149549200 in words is "one hundred forty-nine million, five hundred forty-nine thousand, two hundred".