131464 has 8 divisors (see below), whose sum is σ = 246510. Its totient is φ = 65728.

The previous prime is 131449. The next prime is 131477. The reversal of 131464 is 464131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 72900 + 58564 = 270^2 + 242^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8209 + ... + 8224.

2¹³¹⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

131464 is a deficient number, since it is larger than the sum of its proper divisors (115046).

131464 is a wasteful number, since it uses less digits than its factorization.

131464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16439 (or 16435 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 131464 is about 362.5796464227. The cubic root of 131464 is about 50.8474230106.

Adding to 131464 its reverse (464131), we get a palindrome (595595).

It can be divided in two parts, 1314 and 64, that added together give a triangular number (1378 = T₅₂).

The spelling of 131464 in words is "one hundred thirty-one thousand, four hundred sixty-four".