151584416 has 24 divisors (see below), whose sum is σ = 299201364. Its totient is φ = 75596800.

The previous prime is 151584403. The next prime is 151584431. The reversal of 151584416 is 614485151.

151584416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 139334416 + 12250000 = 11804^2 + 3500^2 .

It is a super-2 number, since 2×151584416² = 45955670348122112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6926 + ... + 18738.

Almost surely, 2^151584416 is an apocalyptic number.

151584416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

151584416 is a deficient number, since it is larger than the sum of its proper divisors (147616948).

151584416 is a wasteful number, since it uses less digits than its factorization.

151584416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12224 (or 12216 counting only the distinct ones).

The product of its digits is 19200, while the sum is 35.

The square root of 151584416 is about 12311.9623131327. The cubic root of 151584416 is about 533.1935063996.

The spelling of 151584416 in words is "one hundred fifty-one million, five hundred eighty-four thousand, four hundred sixteen".