131672325632400 has 480 divisors, whose sum is σ = 540909862291200. Its totient is φ = 29798544384000.

The previous prime is 131672325632399. The next prime is 131672325632429. The reversal of 131672325632400 is 4236523276131.

It is a happy number.

131672325632400 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 7 + 2 + 3 + 2 + 5 + 632 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 986665 + ... + 16257864.

It is an arithmetic number, because the mean of its divisors is an integer number (1126895546440).

Almost surely, 2^{131672325632400} is an apocalyptic number.

131672325632400 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 131672325632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270454931145600).

131672325632400 is an abundant number, since it is smaller than the sum of its proper divisors (409237536658800).

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

131672325632400 is a wasteful number, since it uses less digits than its factorization.

131672325632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17244664 (or 17244647 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 131672325632400 in words is "one hundred thirty-one trillion, six hundred seventy-two billion, three hundred twenty-five million, six hundred thirty-two thousand, four hundred".