131886048 has 216 divisors, whose sum is σ = 428937768. Its totient is φ = 35363328.

The previous prime is 131886043. The next prime is 131886061. The reversal of 131886048 is 840688131.

It is a junction number, because it is equal to n+sod(n) for n = 131885997 and 131886015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131886043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2488390 + ... + 2488442.

It is an arithmetic number, because the mean of its divisors is an integer number (1985823).

Almost surely, 2^131886048 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 131886048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214468884).

131886048 is an abundant number, since it is smaller than the sum of its proper divisors (297051720).

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

131886048 is a wasteful number, since it uses less digits than its factorization.

131886048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 131886048 is about 11484.1650980818. The cubic root of 131886048 is about 509.0177788894.

The spelling of 131886048 in words is "one hundred thirty-one million, eight hundred eighty-six thousand, forty-eight".