131512464 has 80 divisors (see below), whose sum is σ = 379142400. Its totient is φ = 43645824.

The previous prime is 131512457. The next prime is 131512481. The reversal of 131512464 is 464215131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126057 + ... + 127095.

It is an arithmetic number, because the mean of its divisors is an integer number (4739280).

Almost surely, 2^131512464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131512464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189571200).

131512464 is an abundant number, since it is smaller than the sum of its proper divisors (247629936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131512464 is a wasteful number, since it uses less digits than its factorization.

131512464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1337 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 131512464 is about 11467.8883845283. Note that the first 3 decimals coincide. The cubic root of 131512464 is about 508.5367051758.

Adding to 131512464 its reverse (464215131), we get a palindrome (595727595).

The spelling of 131512464 in words is "one hundred thirty-one million, five hundred twelve thousand, four hundred sixty-four".