149377284 has 135 divisors (see below), whose sum is σ = 458988453. Its totient is φ = 42239232.

The previous prime is 149377253. The next prime is 149377301. The reversal of 149377284 is 482773941.

The square root of 149377284 is 12222.

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

It can be written as a sum of positive squares in only one way, i.e., 67076100 + 82301184 = 8190^2 + 9072^2 .

Its product of digits (338688) is a multiple of the sum of its prime factors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1539924 + ... + 1540020.

Almost surely, 2^149377284 is an apocalyptic number.

149377284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

149377284 is the 12222-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149377284

149377284 is an abundant number, since it is smaller than the sum of its proper divisors (309611169).

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

149377284 is an equidigital number, since it uses as much as digits as its factorization.

149377284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 109 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The cubic root of 149377284 is about 530.5930042264.

It can be divided in two parts, 1493772 and 84, that added together give a triangular number (1493856 = T₁₇₂₈).

The spelling of 149377284 in words is "one hundred forty-nine million, three hundred seventy-seven thousand, two hundred eighty-four".