149095200 has 288 divisors, whose sum is σ = 527216256. Its totient is φ = 36495360.

The previous prime is 149095181. The next prime is 149095217. The reversal of 149095200 is 2590941.

It is a happy number.

149095200 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2042364 + ... + 2042436.

It is an arithmetic number, because the mean of its divisors is an integer number (1830612).

Almost surely, 2^149095200 is an apocalyptic number.

149095200 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 149095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263608128).

149095200 is an abundant number, since it is smaller than the sum of its proper divisors (378121056).

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

149095200 is a wasteful number, since it uses less digits than its factorization.

149095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 149095200 is about 12210.4545369941. The cubic root of 149095200 is about 530.2588032347.

The spelling of 149095200 in words is "one hundred forty-nine million, ninety-five thousand, two hundred".