131487114528 has 432 divisors, whose sum is σ = 485936418240. Its totient is φ = 32973050880.

The previous prime is 131487114503. The next prime is 131487114529. The reversal of 131487114528 is 825411784131.

131487114528 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 8 + 7 + 114 + 528 = 666.

It is a super-2 number, since 2×131487114528² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131487114529) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7064851 + ... + 7083437.

It is an arithmetic number, because the mean of its divisors is an integer number (1124852820).

Almost surely, 2^131487114528 is an apocalyptic number.

131487114528 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 131487114528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242968209120).

131487114528 is an abundant number, since it is smaller than the sum of its proper divisors (354449303712).

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

131487114528 is a wasteful number, since it uses less digits than its factorization.

131487114528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18661 (or 18639 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

Adding to 131487114528 its reverse (825411784131), we get a palindrome (956898898659).

The spelling of 131487114528 in words is "one hundred thirty-one billion, four hundred eighty-seven million, one hundred fourteen thousand, five hundred twenty-eight".