131506416 has 100 divisors (see below), whose sum is σ = 393855000. Its totient is φ = 42311808.

The previous prime is 131506411. The next prime is 131506451. The reversal of 131506416 is 614605131.

131506416 is a `hidden beast` number, since 1 + 3 + 15 + 0 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 131506416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131506411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35835 + ... + 39333.

It is an arithmetic number, because the mean of its divisors is an integer number (3938550).

Almost surely, 2^131506416 is an apocalyptic number.

131506416 is a gapful number since it is divisible by the number (16) 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 131506416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196927500).

131506416 is an abundant number, since it is smaller than the sum of its proper divisors (262348584).

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

131506416 is a wasteful number, since it uses less digits than its factorization.

131506416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131506416 is about 11467.6246886616. The cubic root of 131506416 is about 508.5289095215.

The spelling of 131506416 in words is "one hundred thirty-one million, five hundred six thousand, four hundred sixteen".