131538864600 has 864 divisors, whose sum is σ = 539682801840. Its totient is φ = 29393280000.

The previous prime is 131538864577. The next prime is 131538864617. The reversal of 131538864600 is 6468835131.

131538864600 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 38 + 8 + 6 + 4 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 187644250 + ... + 187644950.

Almost surely, 2^131538864600 is an apocalyptic number.

131538864600 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 131538864600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269841400920).

131538864600 is an abundant number, since it is smaller than the sum of its proper divisors (408143937240).

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

131538864600 is a wasteful number, since it uses less digits than its factorization.

131538864600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 131538864600 in words is "one hundred thirty-one billion, five hundred thirty-eight million, eight hundred sixty-four thousand, six hundred".