131757840 has 100 divisors (see below), whose sum is σ = 457637004. Its totient is φ = 35133696.

The previous prime is 131757757. The next prime is 131757853. The reversal of 131757840 is 48757131.

It can be written as a sum of positive squares in 2 ways, for example, as 95179536 + 36578304 = 9756^2 + 6048^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 131757795 and 131757804.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3687 + ... + 16646.

Almost surely, 2^131757840 is an apocalyptic number.

131757840 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 131757840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228818502).

131757840 is an abundant number, since it is smaller than the sum of its proper divisors (325879164).

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

131757840 is a wasteful number, since it uses less digits than its factorization.

131757840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20358 (or 20343 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 131757840 is about 11478.5817939326. The cubic root of 131757840 is about 508.8527846626.

The spelling of 131757840 in words is "one hundred thirty-one million, seven hundred fifty-seven thousand, eight hundred forty".