131547136 has 120 divisors (see below), whose sum is σ = 318757376. Its totient is φ = 53084160.

The previous prime is 131547133. The next prime is 131547137. The reversal of 131547136 is 631745131.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 131547098 and 131547107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131547131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3555310 + ... + 3555346.

Almost surely, 2^131547136 is an apocalyptic number.

131547136 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 131547136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159378688).

131547136 is an abundant number, since it is smaller than the sum of its proper divisors (187210240).

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

131547136 is an frugal number, since it uses more digits than its factorization.

131547136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 131547136 is about 11469.3999843061. The cubic root of 131547136 is about 508.5813915242.

The spelling of 131547136 in words is "one hundred thirty-one million, five hundred forty-seven thousand, one hundred thirty-six".