131766145 has 24 divisors (see below), whose sum is σ = 187864704. Its totient is φ = 88423776.

The previous prime is 131766137. The next prime is 131766157. The reversal of 131766145 is 541667131.

It is not a de Polignac number, because 131766145 - 2³ = 131766137 is a prime.

It is a super-2 number, since 2×131766145² = 34724633936322050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131766145.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5794 + ... + 17236.

It is an arithmetic number, because the mean of its divisors is an integer number (7827696).

Almost surely, 2^131766145 is an apocalyptic number.

It is an amenable number.

131766145 is a deficient number, since it is larger than the sum of its proper divisors (56098559).

131766145 is a wasteful number, since it uses less digits than its factorization.

131766145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11509 (or 11502 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 131766145 is about 11478.9435489508. The cubic root of 131766145 is about 508.8634758255.

It can be divided in two parts, 13176 and 6145, that added together give a square (19321 = 139²).

The spelling of 131766145 in words is "one hundred thirty-one million, seven hundred sixty-six thousand, one hundred forty-five".