131771380 has 48 divisors (see below), whose sum is σ = 298927440. Its totient is φ = 48503808.

The previous prime is 131771377. The next prime is 131771401. The reversal of 131771380 is 83177131.

131771380 = T₄₄₉₆ + T₄₄₉₇ + ... + T₄₅₀₈.

It can be written as a sum of positive squares in 8 ways, for example, as 19114384 + 112656996 = 4372^2 + 10614^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118266 + ... + 119374.

It is an arithmetic number, because the mean of its divisors is an integer number (6227655).

Almost surely, 2^131771380 is an apocalyptic number.

131771380 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 131771380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149463720).

131771380 is an abundant number, since it is smaller than the sum of its proper divisors (167156060).

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

131771380 is a wasteful number, since it uses less digits than its factorization.

131771380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 31.

The square root of 131771380 is about 11479.1715728967. The cubic root of 131771380 is about 508.8702146961.

The spelling of 131771380 in words is "one hundred thirty-one million, seven hundred seventy-one thousand, three hundred eighty".