131400369 has 9 divisors (see below), whose sum is σ = 189850219. Its totient is φ = 87577320.

The previous prime is 131400359. The next prime is 131400397. The reversal of 131400369 is 963004131.

The square root of 131400369 is 11463.

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., 118004769 + 13395600 = 10863^2 + 3660^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 131400369 - 2²³ = 123011761 is a prime.

It is a super-2 number, since 2×131400369² = 34532113946672322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131400329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32479 + ... + 36299.

Almost surely, 2^131400369 is an apocalyptic number.

131400369 is the 11463-rd square number.

131400369 is the 5732-nd centered octagonal number.

It is an amenable number.

131400369 is a deficient number, since it is larger than the sum of its proper divisors (58449850).

131400369 is an frugal number, since it uses more digits than its factorization.

131400369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The cubic root of 131400369 is about 508.3921798995.

It can be divided in two parts, 131400 and 369, that added together give a square (131769 = 363²).

The spelling of 131400369 in words is "one hundred thirty-one million, four hundred thousand, three hundred sixty-nine".