131520128 has 64 divisors (see below), whose sum is σ = 282744000. Its totient is φ = 60733440.

The previous prime is 131520127. The next prime is 131520149. The reversal of 131520128 is 821025131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (131520121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99053 + ... + 100371.

It is an arithmetic number, because the mean of its divisors is an integer number (4417875).

Almost surely, 2^131520128 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 131520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141372000).

131520128 is an abundant number, since it is smaller than the sum of its proper divisors (151223872).

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

131520128 is a wasteful number, since it uses less digits than its factorization.

131520128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 131520128 is about 11468.2225301047. Note that the first 3 decimals coincide. The cubic root of 131520128 is about 508.5465834527.

Adding to 131520128 its reverse (821025131), we get a palindrome (952545259).

The spelling of 131520128 in words is "one hundred thirty-one million, five hundred twenty thousand, one hundred twenty-eight".