149010849 has 27 divisors (see below), whose sum is σ = 233815257. Its totient is φ = 91406016.

The previous prime is 149010847. The next prime is 149010857. The reversal of 149010849 is 948010941.

The square root of 149010849 is 12207.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 117874449 + 31136400 = 10857^2 + 5580^2 .

It is not a de Polignac number, because 149010849 - 2¹ = 149010847 is a prime.

It is not an unprimeable number, because it can be changed into a prime (149010847) 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 26 ways as a sum of consecutive naturals, for example, 475917 + ... + 476229.

Almost surely, 2^149010849 is an apocalyptic number.

149010849 is the 12207-th square number.

149010849 is the 6104-th centered octagonal number.

It is an amenable number.

149010849 is a deficient number, since it is larger than the sum of its proper divisors (84804408).

149010849 is an equidigital number, since it uses as much as digits as its factorization.

149010849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The cubic root of 149010849 is about 530.1587859349.

Multiplying 149010849 by its sum of digits (36), we get a square (5364390564 = 73242²).

The spelling of 149010849 in words is "one hundred forty-nine million, ten thousand, eight hundred forty-nine".