152981894641 has 9 divisors (see below), whose sum is σ = 154974188313. Its totient is φ = 151014906900.

The previous prime is 152981894603. The next prime is 152981894651. The reversal of 152981894641 is 146498189251.

The square root of 152981894641 is 391129.

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

It is not a de Polignac number, because 152981894641 - 2⁹ = 152981894129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152981894651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30896716 + ... + 30901666.

It is an arithmetic number, because the mean of its divisors is an integer number (17219354257).

Almost surely, 2^152981894641 is an apocalyptic number.

152981894641 is the 391129-th square number.

152981894641 is the 195565-th centered octagonal number.

It is an amenable number.

152981894641 is a deficient number, since it is larger than the sum of its proper divisors (1992293672).

152981894641 is an frugal number, since it uses more digits than its factorization.

152981894641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10060 (or 5030 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 58.

The spelling of 152981894641 in words is "one hundred fifty-two billion, nine hundred eighty-one million, eight hundred ninety-four thousand, six hundred forty-one".