131626155386880 has 2304 divisors, whose sum is σ = 599137523712000. Its totient is φ = 26466435072000.

The previous prime is 131626155386867. The next prime is 131626155386909. The reversal of 131626155386880 is 88683551626131.

131626155386880 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 2 + 6 + 15 + 538 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×131626155386880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 10779303975 + ... + 10779316185.

It is an arithmetic number, because the mean of its divisors is an integer number (260042328000).

Almost surely, 2^{131626155386880} is an apocalyptic number.

131626155386880 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 131626155386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299568761856000).

131626155386880 is an abundant number, since it is smaller than the sum of its proper divisors (467511368325120).

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

131626155386880 is a wasteful number, since it uses less digits than its factorization.

131626155386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12307 (or 12270 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 131626155386880 in words is "one hundred thirty-one trillion, six hundred twenty-six billion, one hundred fifty-five million, three hundred eighty-six thousand, eight hundred eighty".