149947200 has 420 divisors, whose sum is σ = 600235020. Its totient is φ = 36495360.

The previous prime is 149947177. The next prime is 149947241. The reversal of 149947200 is 2749941.

It can be written as a sum of positive squares in 6 ways, for example, as 34857216 + 115089984 = 5904^2 + 10728^2 .

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1684756 + ... + 1684844.

It is an arithmetic number, because the mean of its divisors is an integer number (1429131).

Almost surely, 2^149947200 is an apocalyptic number.

149947200 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 149947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300117510).

149947200 is an abundant number, since it is smaller than the sum of its proper divisors (450287820).

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

149947200 is a wasteful number, since it uses less digits than its factorization.

149947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 149947200 is about 12245.2929732204. The cubic root of 149947200 is about 531.2669346389.

The spelling of 149947200 in words is "one hundred forty-nine million, nine hundred forty-seven thousand, two hundred".