182140315507969 has 81 divisors (see below), whose sum is σ = 234957268857033. Its totient is φ = 140718788106624.

The previous prime is 182140315507919. The next prime is 182140315507991. The reversal of 182140315507969 is 969705513041281.

The square root of 182140315507969 is 13495937.

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 145215393786225 + 36924921721744 = 12050535^2 + 6076588^2 .

It is not a de Polignac number, because 182140315507969 - 2⁷ = 182140315507841 is a prime.

It is a super-2 number, since 2×182140315507969² (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 (182140315507919) 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 80 ways as a sum of consecutive naturals, for example, 52809599757 + ... + 52809603205.

It is a 1-persistent number, because it is pandigital, but 2⋅182140315507969 = 364280631015938 is not.

Almost surely, 2^{182140315507969} is an apocalyptic number.

182140315507969 is the 13495937-th square number.

182140315507969 is the 6747969-th centered octagonal number.

It is an amenable number.

182140315507969 is a deficient number, since it is larger than the sum of its proper divisors (52816953349064).

182140315507969 is an frugal number, since it uses more digits than its factorization.

182140315507969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 61.

The spelling of 182140315507969 in words is "one hundred eighty-two trillion, one hundred forty billion, three hundred fifteen million, five hundred seven thousand, nine hundred sixty-nine".