131948190 has 160 divisors (see below), whose sum is σ = 395176320. Its totient is φ = 31320000.

The previous prime is 131948177. The next prime is 131948191. The reversal of 131948190 is 91849131.

It is a super-2 number, since 2×131948190² = 34820649688552200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131948191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 525565 + ... + 525815.

It is an arithmetic number, because the mean of its divisors is an integer number (2469852).

Almost surely, 2^131948190 is an apocalyptic number.

131948190 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 131948190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197588160).

131948190 is an abundant number, since it is smaller than the sum of its proper divisors (263228130).

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

131948190 is a wasteful number, since it uses less digits than its factorization.

131948190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 131948190 is about 11486.8703309474. The cubic root of 131948190 is about 509.0977125811.

The spelling of 131948190 in words is "one hundred thirty-one million, nine hundred forty-eight thousand, one hundred ninety".