131499648 has 192 divisors, whose sum is σ = 451900800. Its totient is φ = 35887104.

The previous prime is 131499647. The next prime is 131499649. The reversal of 131499648 is 846994131.

It is an interprime number because it is at equal distance from previous prime (131499647) and next prime (131499649).

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131499647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185118 + ... + 185826.

It is an arithmetic number, because the mean of its divisors is an integer number (2353650).

Almost surely, 2^131499648 is an apocalyptic number.

131499648 is a gapful number since it is divisible by the number (18) 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 131499648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225950400).

131499648 is an abundant number, since it is smaller than the sum of its proper divisors (320401152).

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

131499648 is a wasteful number, since it uses less digits than its factorization.

131499648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 744 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 131499648 is about 11467.3295932401. The cubic root of 131499648 is about 508.5201855296.

The spelling of 131499648 in words is "one hundred thirty-one million, four hundred ninety-nine thousand, six hundred forty-eight".