152393421376 has 63 divisors (see below), whose sum is σ = 351828524307. Its totient is φ = 65302097280.

The previous prime is 152393421373. The next prime is 152393421511. The reversal of 152393421376 is 673124393251.

The square root of 152393421376 is 390376.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152393421373) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 21857571 + ... + 21864541.

Almost surely, 2^152393421376 is an apocalyptic number.

152393421376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

152393421376 is the 390376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152393421376

152393421376 is an abundant number, since it is smaller than the sum of its proper divisors (199435102931).

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

152393421376 is an frugal number, since it uses more digits than its factorization.

152393421376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13968 (or 6980 counting only the distinct ones).

The product of its digits is 816480, while the sum is 46.

The spelling of 152393421376 in words is "one hundred fifty-two billion, three hundred ninety-three million, four hundred twenty-one thousand, three hundred seventy-six".