131624482080 has 1152 divisors, whose sum is σ = 554059699200. Its totient is φ = 25960144896.

The previous prime is 131624482069. The next prime is 131624482123. The reversal of 131624482080 is 80284426131.

It is a super-2 number, since 2×131624482080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 807512079 + ... + 807512241.

It is an arithmetic number, because the mean of its divisors is an integer number (480954600).

Almost surely, 2^131624482080 is an apocalyptic number.

131624482080 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 131624482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277029849600).

131624482080 is an abundant number, since it is smaller than the sum of its proper divisors (422435217120).

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

131624482080 is a wasteful number, since it uses less digits than its factorization.

131624482080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 131624482080 in words is "one hundred thirty-one billion, six hundred twenty-four million, four hundred eighty-two thousand, eighty".