152028248464 has 45 divisors (see below), whose sum is σ = 297660046411. Its totient is φ = 75221051360.

The previous prime is 152028248453. The next prime is 152028248503. The reversal of 152028248464 is 464842820251.

The square root of 152028248464 is 389908.

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

152028248464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×152028248464² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 166880169 + ... + 166881079.

Almost surely, 2^152028248464 is an apocalyptic number.

152028248464 is the 389908-th square number.

It is an amenable number.

152028248464 is a deficient number, since it is larger than the sum of its proper divisors (145631797947).

152028248464 is an frugal number, since it uses more digits than its factorization.

152028248464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 46.

The spelling of 152028248464 in words is "one hundred fifty-two billion, twenty-eight million, two hundred forty-eight thousand, four hundred sixty-four".