131506182865200 has 960 divisors, whose sum is σ = 524175272635392. Its totient is φ = 27688520908800.

The previous prime is 131506182865193. The next prime is 131506182865219. The reversal of 131506182865200 is 2568281605131.

It is a super-2 number, since 2×131506182865200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 131506182865200.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16403411592 + ... + 16403419608.

Almost surely, 2^{131506182865200} is an apocalyptic number.

131506182865200 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 131506182865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262087636317696).

131506182865200 is an abundant number, since it is smaller than the sum of its proper divisors (392669089770192).

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

131506182865200 is a wasteful number, since it uses less digits than its factorization.

131506182865200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13702 (or 13691 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 131506182865200 in words is "one hundred thirty-one trillion, five hundred six billion, one hundred eighty-two million, eight hundred sixty-five thousand, two hundred".