131269536 has 72 divisors (see below), whose sum is σ = 382436964. Its totient is φ = 42685440.

The previous prime is 131269519. The next prime is 131269547. The reversal of 131269536 is 635962131.

It can be written as a sum of positive squares in 2 ways, for example, as 100400400 + 30869136 = 10020^2 + 5556^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131269536.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6250 + ... + 17366.

Almost surely, 2^131269536 is an apocalyptic number.

131269536 is a gapful number since it is divisible by the number (16) 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 131269536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191218482).

131269536 is an abundant number, since it is smaller than the sum of its proper divisors (251167428).

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

131269536 is a wasteful number, since it uses less digits than its factorization.

131269536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11174 (or 11163 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 131269536 is about 11457.2918266054. The cubic root of 131269536 is about 508.2233915301.

The spelling of 131269536 in words is "one hundred thirty-one million, two hundred sixty-nine thousand, five hundred thirty-six".