131406000 has 240 divisors, whose sum is σ = 468240864. Its totient is φ = 31680000.

The previous prime is 131405999. The next prime is 131406001. The reversal of 131406000 is 604131.

It is an interprime number because it is at equal distance from previous prime (131405999) and next prime (131406001).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (131406001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 725910 + ... + 726090.

Almost surely, 2^131406000 is an apocalyptic number.

131406000 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 131406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234120432).

131406000 is an abundant number, since it is smaller than the sum of its proper divisors (336834864).

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

131406000 is a wasteful number, since it uses less digits than its factorization.

131406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131406000 is about 11463.2456136995. The cubic root of 131406000 is about 508.3994419681.

The spelling of 131406000 in words is "one hundred thirty-one million, four hundred six thousand".