131461512 has 96 divisors (see below), whose sum is σ = 411768000. Its totient is φ = 34667136.

The previous prime is 131461511. The next prime is 131461523. The reversal of 131461512 is 215164131.

It is a happy number.

It is a super-2 number, since 2×131461512² = 34564258274652288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131461511) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10989 + ... + 19587.

It is an arithmetic number, because the mean of its divisors is an integer number (4289250).

Almost surely, 2^131461512 is an apocalyptic number.

131461512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131461512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205884000).

131461512 is an abundant number, since it is smaller than the sum of its proper divisors (280306488).

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

131461512 is a wasteful number, since it uses less digits than its factorization.

131461512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8635 (or 8624 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 131461512 is about 11465.6666618213. Note that the first 5 decimals coincide. The cubic root of 131461512 is about 508.4710224048.

It can be divided in two parts, 1314 and 61512, that added together give a palindrome (62826).

The spelling of 131461512 in words is "one hundred thirty-one million, four hundred sixty-one thousand, five hundred twelve".