151388416 has 27 divisors (see below), whose sum is σ = 302578941. Its totient is φ = 75595776.

The previous prime is 151388399. The next prime is 151388437. The reversal of 151388416 is 614883151.

The square root of 151388416 is 12304.

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., 59228416 + 92160000 = 7696^2 + 9600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 196480 + ... + 197248.

Almost surely, 2^151388416 is an apocalyptic number.

151388416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

151388416 is the 12304-th square number.

It is an amenable number.

151388416 is a deficient number, since it is larger than the sum of its proper divisors (151190525).

151388416 is an frugal number, since it uses more digits than its factorization.

151388416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 771 counting only the distinct ones).

The product of its digits is 23040, while the sum is 37.

The cubic root of 151388416 is about 532.9635992962.

The spelling of 151388416 in words is "one hundred fifty-one million, three hundred eighty-eight thousand, four hundred sixteen".