131057190 has 96 divisors (see below), whose sum is σ = 385572096. Its totient is φ = 31764960.

The previous prime is 131057189. The next prime is 131057207. The reversal of 131057190 is 91750131.

It is a happy number.

131057190 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 571 + 90 = 666.

It is a super-2 number, since 2×131057190² = 34351974101392200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 24279 + ... + 29181.

It is an arithmetic number, because the mean of its divisors is an integer number (4016376).

Almost surely, 2^131057190 is an apocalyptic number.

131057190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131057190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192786048).

131057190 is an abundant number, since it is smaller than the sum of its proper divisors (254514906).

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

131057190 is a wasteful number, since it uses less digits than its factorization.

131057190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4924 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 131057190 is about 11448.0212263954. The cubic root of 131057190 is about 507.9492039027.

The spelling of 131057190 in words is "one hundred thirty-one million, fifty-seven thousand, one hundred ninety".