131677504 has 84 divisors (see below), whose sum is σ = 306933600. Its totient is φ = 55883520.

The previous prime is 131677499. The next prime is 131677541. The reversal of 131677504 is 405776131.

131677504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131677504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 623959 + ... + 624169.

Almost surely, 2^131677504 is an apocalyptic number.

131677504 is a gapful number since it is divisible by the number (14) 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 131677504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153466800).

131677504 is an abundant number, since it is smaller than the sum of its proper divisors (175256096).

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

131677504 is a wasteful number, since it uses less digits than its factorization.

131677504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 131677504 is about 11475.0818733463. The cubic root of 131677504 is about 508.7493436112.

The spelling of 131677504 in words is "one hundred thirty-one million, six hundred seventy-seven thousand, five hundred four".