131612544 has 192 divisors, whose sum is σ = 456144000. Its totient is φ = 35582976.

The previous prime is 131612543. The next prime is 131612573. The reversal of 131612544 is 445216131.

It is a happy number.

131612544 is a `hidden beast` number, since 1 + 3 + 1 + 612 + 5 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131612543) 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, 152787 + ... + 153645.

It is an arithmetic number, because the mean of its divisors is an integer number (2375750).

Almost surely, 2^131612544 is an apocalyptic number.

131612544 is a gapful number since it is divisible by the number (14) 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 131612544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228072000).

131612544 is an abundant number, since it is smaller than the sum of its proper divisors (324531456).

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

131612544 is a wasteful number, since it uses less digits than its factorization.

131612544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 890 counting only the distinct ones).

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

The square root of 131612544 is about 11472.2510432783. The cubic root of 131612544 is about 508.6656700087.

Adding to 131612544 its reverse (445216131), we get a palindrome (576828675).

The spelling of 131612544 in words is "one hundred thirty-one million, six hundred twelve thousand, five hundred forty-four".