152399667456 has 135 divisors (see below), whose sum is σ = 454595918623. Its totient is φ = 50781150720.

The previous prime is 152399667403. The next prime is 152399667467. The reversal of 152399667456 is 654766993251.

The square root of 152399667456 is 390384.

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

152399667456 is a `hidden beast` number, since 1 + 5 + 2 + 39 + 96 + 67 + 456 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 152399667393 and 152399667402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 56213941 + ... + 56216651.

Almost surely, 2^152399667456 is an apocalyptic number.

152399667456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152399667456 is the 390384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152399667456

152399667456 is an abundant number, since it is smaller than the sum of its proper divisors (302196251167).

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

152399667456 is an frugal number, since it uses more digits than its factorization.

152399667456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5450 (or 2716 counting only the distinct ones).

The product of its digits is 73483200, while the sum is 63.

The spelling of 152399667456 in words is "one hundred fifty-two billion, three hundred ninety-nine million, six hundred sixty-seven thousand, four hundred fifty-six".