131624144 has 10 divisors (see below), whose sum is σ = 255021810. Its totient is φ = 65812064.

The previous prime is 131624137. The next prime is 131624173. The reversal of 131624144 is 441426131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 112614544 + 19009600 = 10612^2 + 4360^2 .

It is a super-3 number, since 3×131624144³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4113239 + ... + 4113270.

It is an arithmetic number, because the mean of its divisors is an integer number (25502181).

Almost surely, 2^131624144 is an apocalyptic number.

It is an amenable number.

131624144 is a deficient number, since it is larger than the sum of its proper divisors (123397666).

131624144 is an equidigital number, since it uses as much as digits as its factorization.

131624144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8226517 (or 8226511 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 131624144 is about 11472.7565998761. The cubic root of 131624144 is about 508.6806137424.

The spelling of 131624144 in words is "one hundred thirty-one million, six hundred twenty-four thousand, one hundred forty-four".