131202000 has 240 divisors, whose sum is σ = 473018832. Its totient is φ = 33868800.

The previous prime is 131201999. The next prime is 131202007. The reversal of 131202000 is 202131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 419904 + 130782096 = 648^2 + 11436^2 .

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 (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665902 + ... + 666098.

Almost surely, 2^131202000 is an apocalyptic number.

131202000 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 131202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236509416).

131202000 is an abundant number, since it is smaller than the sum of its proper divisors (341816832).

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

131202000 is a wasteful number, since it uses less digits than its factorization.

131202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131202000 is about 11454.3441540753. The cubic root of 131202000 is about 508.1362190757.

Adding to 131202000 its reverse (202131), we get a palindrome (131404131).

The spelling of 131202000 in words is "one hundred thirty-one million, two hundred two thousand".