131779872 has 192 divisors, whose sum is σ = 446342400. Its totient is φ = 37511424.

The previous prime is 131779871. The next prime is 131779873. The reversal of 131779872 is 278977131.

It is an interprime number because it is at equal distance from previous prime (131779871) and next prime (131779873).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131779871) 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, 489754 + ... + 490022.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 2^131779872 is an apocalyptic number.

131779872 is a gapful number since it is divisible by the number (12) 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 131779872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223171200).

131779872 is an abundant number, since it is smaller than the sum of its proper divisors (314562528).

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

131779872 is an frugal number, since it uses more digits than its factorization.

131779872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its digits is 148176, while the sum is 45.

The square root of 131779872 is about 11479.5414542568. The cubic root of 131779872 is about 508.8811458332.

It can be divided in two parts, 131779 and 872, that added together give a cube (132651 = 51³).

The spelling of 131779872 in words is "one hundred thirty-one million, seven hundred seventy-nine thousand, eight hundred seventy-two".