131527150801200 has 1200 divisors, whose sum is σ = 623136788550144. Its totient is φ = 25722643046400.

The previous prime is 131527150801199. The next prime is 131527150801271. The reversal of 131527150801200 is 2108051725131.

131527150801200 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 27 + 1 + 508 + 0 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 40860997 + ... + 43962203.

Almost surely, 2^{131527150801200} is an apocalyptic number.

131527150801200 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 131527150801200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311568394275072).

131527150801200 is an abundant number, since it is smaller than the sum of its proper divisors (491609637748944).

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

131527150801200 is a wasteful number, since it uses less digits than its factorization.

131527150801200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101272 (or 3101252 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 36.

The spelling of 131527150801200 in words is "one hundred thirty-one trillion, five hundred twenty-seven billion, one hundred fifty million, eight hundred one thousand, two hundred".