131524640 has 96 divisors (see below), whose sum is σ = 343874160. Its totient is φ = 47222784.

The previous prime is 131524639. The next prime is 131524663. The reversal of 131524640 is 46425131.

It can be written as a sum of positive squares in 8 ways, for example, as 39287824 + 92236816 = 6268^2 + 9604^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76106 + ... + 77814.

Almost surely, 2^131524640 is an apocalyptic number.

131524640 is a gapful number since it is divisible by the number (10) 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 131524640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171937080).

131524640 is an abundant number, since it is smaller than the sum of its proper divisors (212349520).

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

131524640 is a wasteful number, since it uses less digits than its factorization.

131524640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 131524640 is about 11468.4192459118. The cubic root of 131524640 is about 508.5523988768.

Adding to 131524640 its reverse (46425131), we get a palindrome (177949771).

The spelling of 131524640 in words is "one hundred thirty-one million, five hundred twenty-four thousand, six hundred forty".