131497968 has 120 divisors (see below), whose sum is σ = 398748288. Its totient is φ = 37340352.

The previous prime is 131497957. The next prime is 131497981. The reversal of 131497968 is 869794131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806655 + ... + 806817.

Almost surely, 2^131497968 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 131497968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199374144).

131497968 is an abundant number, since it is smaller than the sum of its proper divisors (267250320).

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

131497968 is an frugal number, since it uses more digits than its factorization.

131497968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 175 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 131497968 is about 11467.2563414271. The cubic root of 131497968 is about 508.5180199533.

The spelling of 131497968 in words is "one hundred thirty-one million, four hundred ninety-seven thousand, nine hundred sixty-eight".