131355906 has 96 divisors (see below), whose sum is σ = 317157120. Its totient is φ = 36072960.

The previous prime is 131355899. The next prime is 131355941. The reversal of 131355906 is 609553131.

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 47 ways as a sum of consecutive naturals, for example, 357735 + ... + 358101.

It is an arithmetic number, because the mean of its divisors is an integer number (3303720).

Almost surely, 2^131355906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131355906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578560).

131355906 is an abundant number, since it is smaller than the sum of its proper divisors (185801214).

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

131355906 is a wasteful number, since it uses less digits than its factorization.

131355906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 131355906 is about 11461.0604221424. The cubic root of 131355906 is about 508.3348305131.

The spelling of 131355906 in words is "one hundred thirty-one million, three hundred fifty-five thousand, nine hundred six".