131977608 has 128 divisors (see below), whose sum is σ = 395366400. Its totient is φ = 35917056.

The previous prime is 131977607. The next prime is 131977627. The reversal of 131977608 is 806779131.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 131977608.

It is not an unprimeable number, because it can be changed into a prime (131977603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501685 + ... + 501947.

It is an arithmetic number, because the mean of its divisors is an integer number (3088800).

Almost surely, 2^131977608 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 131977608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197683200).

131977608 is an abundant number, since it is smaller than the sum of its proper divisors (263388792).

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

131977608 is a wasteful number, since it uses less digits than its factorization.

131977608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 131977608 is about 11488.1507650274. The cubic root of 131977608 is about 509.1355444089.

The spelling of 131977608 in words is "one hundred thirty-one million, nine hundred seventy-seven thousand, six hundred eight".