131748864 has 88 divisors (see below), whose sum is σ = 378285600. Its totient is φ = 40525824.

The previous prime is 131748863. The next prime is 131748871. The reversal of 131748864 is 468847131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131748863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38287 + ... + 41585.

It is an arithmetic number, because the mean of its divisors is an integer number (4298700).

Almost surely, 2^131748864 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 131748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189142800).

131748864 is an abundant number, since it is smaller than the sum of its proper divisors (246536736).

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

131748864 is a wasteful number, since it uses less digits than its factorization.

131748864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3335 (or 3317 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 131748864 is about 11478.1907982051. The cubic root of 131748864 is about 508.8412292052.

The spelling of 131748864 in words is "one hundred thirty-one million, seven hundred forty-eight thousand, eight hundred sixty-four".