131922000 has 320 divisors, whose sum is σ = 541632000. Its totient is φ = 30067200.

The previous prime is 131921971. The next prime is 131922001. The reversal of 131922000 is 229131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131922001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377826 + ... + 378174.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2^131922000 is an apocalyptic number.

131922000 is a gapful number since it is divisible by the number (10) 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 131922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816000).

131922000 is an abundant number, since it is smaller than the sum of its proper divisors (409710000).

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

131922000 is a wasteful number, since it uses less digits than its factorization.

131922000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131922000 is about 11485.7302771744. The cubic root of 131922000 is about 509.0640272602.

The spelling of 131922000 in words is "one hundred thirty-one million, nine hundred twenty-two thousand".