149989392 has 180 divisors, whose sum is σ = 505821420. Its totient is φ = 41319936.

The previous prime is 149989373. The next prime is 149989397. The reversal of 149989392 is 293989941.

It can be written as a sum of positive squares in 2 ways, for example, as 121088016 + 28901376 = 11004^2 + 5376^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149989397) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204258 + ... + 204990.

It is an arithmetic number, because the mean of its divisors is an integer number (2810119).

Almost surely, 2^149989392 is an apocalyptic number.

149989392 is a gapful number since it is divisible by the number (12) 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 149989392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252910710).

149989392 is an abundant number, since it is smaller than the sum of its proper divisors (355832028).

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

149989392 is a wasteful number, since it uses less digits than its factorization.

149989392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 774 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 149989392 is about 12247.0156364724. The cubic root of 149989392 is about 531.3167590937.

The spelling of 149989392 in words is "one hundred forty-nine million, nine hundred eighty-nine thousand, three hundred ninety-two".