131251520 has 112 divisors (see below), whose sum is σ = 328306176. Its totient is φ = 49920000.

The previous prime is 131251517. The next prime is 131251531. The reversal of 131251520 is 25152131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131251492 and 131251501.

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, 1001855 + ... + 1001985.

Almost surely, 2^131251520 is an apocalyptic number.

131251520 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 131251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164153088).

131251520 is an abundant number, since it is smaller than the sum of its proper divisors (197054656).

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

131251520 is a wasteful number, since it uses less digits than its factorization.

131251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 131251520 is about 11456.5055754362. The cubic root of 131251520 is about 508.2001402062.

The spelling of 131251520 in words is "one hundred thirty-one million, two hundred fifty-one thousand, five hundred twenty".