149587200 has 486 divisors, whose sum is σ = 633861774. Its totient is φ = 33546240.

The previous prime is 149587181. The next prime is 149587201. The reversal of 149587200 is 2785941.

It can be written as a sum of positive squares in 3 ways, for example, as 19079424 + 130507776 = 4368^2 + 11424^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149587201) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822374 + ... + 2822426.

Almost surely, 2^149587200 is an apocalyptic number.

149587200 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 149587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316930887).

149587200 is an abundant number, since it is smaller than the sum of its proper divisors (484274574).

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

149587200 is a wasteful number, since it uses less digits than its factorization.

149587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 149587200 is about 12230.5846139913. The cubic root of 149587200 is about 530.8414307289.

The spelling of 149587200 in words is "one hundred forty-nine million, five hundred eighty-seven thousand, two hundred".