152159108007841 has 9 divisors (see below), whose sum is σ = 167249416624563. Its totient is φ = 138326338472520.

The previous prime is 152159108007811. The next prime is 152159108007847. The reversal of 152159108007841 is 148700801951251.

The square root of 152159108007841 is 12335279.

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

It can be written as a sum of positive squares in only one way, i.e., 151062019351441 + 1097088656400 = 12290729^2 + 1047420^2 .

It is a de Polignac number, because none of the positive numbers 2^k-152159108007841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152159108007847) 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, 135127375 + ... + 136248763.

Almost surely, 2^{152159108007841} is an apocalyptic number.

152159108007841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152159108007841 is the 12335279-th square number.

152159108007841 is the 6167640-th centered octagonal number.

It is an amenable number.

152159108007841 is a deficient number, since it is larger than the sum of its proper divisors (15090308616722).

152159108007841 is an frugal number, since it uses more digits than its factorization.

152159108007841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242800 (or 1121400 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 52.

It can be divided in two parts, 152159 and 108007841, that added together give a square (108160000 = 10400²).

The spelling of 152159108007841 in words is "one hundred fifty-two trillion, one hundred fifty-nine billion, one hundred eight million, seven thousand, eight hundred forty-one".