131400192 has 240 divisors, whose sum is σ = 444096576. Its totient is φ = 33792000.

The previous prime is 131400187. The next prime is 131400211. The reversal of 131400192 is 291004131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300942 + ... + 1301042.

Almost surely, 2^131400192 is an apocalyptic number.

131400192 is a gapful number since it is divisible by the number (12) 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 131400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222048288).

131400192 is an abundant number, since it is smaller than the sum of its proper divisors (312696384).

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

131400192 is a wasteful number, since it uses less digits than its factorization.

131400192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 131400192 is about 11462.9922795054. The cubic root of 131400192 is about 508.3919516265.

The spelling of 131400192 in words is "one hundred thirty-one million, four hundred thousand, one hundred ninety-two".