131906544 has 160 divisors (see below), whose sum is σ = 430686720. Its totient is φ = 33792000.

The previous prime is 131906539. The next prime is 131906561. The reversal of 131906544 is 445609131.

131906544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328744 + ... + 329144.

It is an arithmetic number, because the mean of its divisors is an integer number (2691792).

Almost surely, 2^131906544 is an apocalyptic number.

131906544 is a gapful number since it is divisible by the number (14) 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 131906544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215343360).

131906544 is an abundant number, since it is smaller than the sum of its proper divisors (298780176).

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

131906544 is a wasteful number, since it uses less digits than its factorization.

131906544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 131906544 is about 11485.0574225817. The cubic root of 131906544 is about 509.0441458128.

The spelling of 131906544 in words is "one hundred thirty-one million, nine hundred six thousand, five hundred forty-four".