131252651200 has 336 divisors, whose sum is σ = 363614012928. Its totient is φ = 46220800000.

The previous prime is 131252651183. The next prime is 131252651203. The reversal of 131252651200 is 2156252131.

It is a super-2 number, since 2×131252651200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131252651203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83546415 + ... + 83547985.

Almost surely, 2^131252651200 is an apocalyptic number.

131252651200 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 131252651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181807006464).

131252651200 is an abundant number, since it is smaller than the sum of its proper divisors (232361361728).

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

131252651200 is a wasteful number, since it uses less digits than its factorization.

131252651200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 1312526 and 51200, that added together give a triangular number (1363726 = T₁₆₅₁).

The spelling of 131252651200 in words is "one hundred thirty-one billion, two hundred fifty-two million, six hundred fifty-one thousand, two hundred".