149943456 has 144 divisors (see below), whose sum is σ = 475380360. Its totient is φ = 44513280.

The previous prime is 149943397. The next prime is 149943461. The reversal of 149943456 is 654349941.

It can be written as a sum of positive squares in 4 ways, for example, as 102333456 + 47610000 = 10116^2 + 6900^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107886 + ... + 109266.

Almost surely, 2^149943456 is an apocalyptic number.

149943456 is a gapful number since it is divisible by the number (16) 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 149943456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237690180).

149943456 is an abundant number, since it is smaller than the sum of its proper divisors (325436904).

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

149943456 is a wasteful number, since it uses less digits than its factorization.

149943456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1428 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 149943456 is about 12245.1400971977. The cubic root of 149943456 is about 531.2625129048.

The spelling of 149943456 in words is "one hundred forty-nine million, nine hundred forty-three thousand, four hundred fifty-six".