149785200 has 360 divisors, whose sum is σ = 570880128. Its totient is φ = 37635840.

The previous prime is 149785199. The next prime is 149785241. The reversal of 149785200 is 2587941.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×149785200² = 44871212278080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2235567 + ... + 2235633.

Almost surely, 2^149785200 is an apocalyptic number.

149785200 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 149785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285440064).

149785200 is an abundant number, since it is smaller than the sum of its proper divisors (421094928).

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

149785200 is a wasteful number, since it uses less digits than its factorization.

149785200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

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

The square root of 149785200 is about 12238.6763990229. The cubic root of 149785200 is about 531.0755422545.

The spelling of 149785200 in words is "one hundred forty-nine million, seven hundred eighty-five thousand, two hundred".