140131200 has 192 divisors, whose sum is σ = 503896320. Its totient is φ = 33945600.

The previous prime is 140131181. The next prime is 140131207. The reversal of 140131200 is 2131041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140131207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104937 + ... + 106263.

It is an arithmetic number, because the mean of its divisors is an integer number (2624460).

Almost surely, 2^140131200 is an apocalyptic number.

140131200 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 140131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251948160).

140131200 is an abundant number, since it is smaller than the sum of its proper divisors (363765120).

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

140131200 is a wasteful number, since it uses less digits than its factorization.

140131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 140131200 is about 11837.7024797889. The cubic root of 140131200 is about 519.4115631674.

Adding to 140131200 its reverse (2131041), we get a palindrome (142262241).

The spelling of 140131200 in words is "one hundred forty million, one hundred thirty-one thousand, two hundred".