149124000 has 288 divisors, whose sum is σ = 531026496. Its totient is φ = 36556800.

The previous prime is 149123941. The next prime is 149124007. The reversal of 149124000 is 421941.

It is not an unprimeable number, because it can be changed into a prime (149124007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3467979 + ... + 3468021.

It is an arithmetic number, because the mean of its divisors is an integer number (1843842).

Almost surely, 2^149124000 is an apocalyptic number.

149124000 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 149124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265513248).

149124000 is an abundant number, since it is smaller than the sum of its proper divisors (381902496).

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

149124000 is a wasteful number, since it uses less digits than its factorization.

149124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 149124000 is about 12211.6337973262. The cubic root of 149124000 is about 530.2929435476.

Adding to 149124000 its reverse (421941), we get a palindrome (149545941).

The spelling of 149124000 in words is "one hundred forty-nine million, one hundred twenty-four thousand".