131456000 has 176 divisors, whose sum is σ = 357651840. Its totient is φ = 47923200.

The previous prime is 131455993. The next prime is 131456029. The reversal of 131456000 is 654131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1663961 + ... + 1664039.

Almost surely, 2^131456000 is an apocalyptic number.

131456000 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 131456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178825920).

131456000 is an abundant number, since it is smaller than the sum of its proper divisors (226195840).

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

131456000 is an equidigital number, since it uses as much as digits as its factorization.

131456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 131456000 is about 11465.4262895018. The cubic root of 131456000 is about 508.4639158091.

The spelling of 131456000 in words is "one hundred thirty-one million, four hundred fifty-six thousand".