152742631670281 has 9 divisors (see below), whose sum is σ = 153299475688149. Its totient is φ = 152187803168544.

The previous prime is 152742631670231. The next prime is 152742631670339. The reversal of 152742631670281 is 182076136247251.

The square root of 152742631670281 is 12358909.

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

It can be written as a sum of positive squares in 4 ways, for example, as 82670664860281 + 70071966810000 = 9092341^2 + 8370900^2 .

It is not a de Polignac number, because 152742631670281 - 2²⁹ = 152742094799369 is a prime.

It is a super-2 number, since 2×152742631670281² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152742631670231) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3423395485 + ... + 3423440101.

It is an arithmetic number, because the mean of its divisors is an integer number (17033275076461).

Almost surely, 2^{152742631670281} is an apocalyptic number.

152742631670281 is the 12358909-th square number.

152742631670281 is the 6179455-th centered octagonal number.

It is an amenable number.

152742631670281 is a deficient number, since it is larger than the sum of its proper divisors (556844017868).

152742631670281 is an frugal number, since it uses more digits than its factorization.

152742631670281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89788 (or 44894 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 152742631670281 in words is "one hundred fifty-two trillion, seven hundred forty-two billion, six hundred thirty-one million, six hundred seventy thousand, two hundred eighty-one".