131480121600 has 1296 divisors, whose sum is σ = 540895380480. Its totient is φ = 30257971200.

The previous prime is 131480121599. The next prime is 131480121607. The reversal of 131480121600 is 6121084131.

It is a happy number.

131480121600 is a `hidden beast` number, since 1 + 3 + 1 + 48 + 0 + 12 + 1 + 600 = 666.

It is a super-3 number, since 3×131480121600³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131480121607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 688377505 + ... + 688377695.

Almost surely, 2^131480121600 is an apocalyptic number.

131480121600 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 131480121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270447690240).

131480121600 is an abundant number, since it is smaller than the sum of its proper divisors (409415258880).

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

131480121600 is a wasteful number, since it uses less digits than its factorization.

131480121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 131480121600 in words is "one hundred thirty-one billion, four hundred eighty million, one hundred twenty-one thousand, six hundred".