131712780 has 96 divisors (see below), whose sum is σ = 388281600. Its totient is φ = 33311488.

The previous prime is 131712773. The next prime is 131712781. The reversal of 131712780 is 87217131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (131712781) 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, 102019 + ... + 103301.

It is an arithmetic number, because the mean of its divisors is an integer number (4044600).

Almost surely, 2^131712780 is an apocalyptic number.

131712780 is a gapful number since it is divisible by the number (10) 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 131712780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194140800).

131712780 is an abundant number, since it is smaller than the sum of its proper divisors (256568820).

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

131712780 is a wasteful number, since it uses less digits than its factorization.

131712780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 131712780 is about 11476.6188400591. The cubic root of 131712780 is about 508.7947703519.

It can be divided in two parts, 13171 and 2780, that added together give a palindrome (15951).

The spelling of 131712780 in words is "one hundred thirty-one million, seven hundred twelve thousand, seven hundred eighty".