131862528000 has 1152 divisors, whose sum is σ = 560593205640. Its totient is φ = 29727129600.

The previous prime is 131862527999. The next prime is 131862528029. The reversal of 131862528000 is 825268131.

It is a happy number.

131862528000 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 625 + 28 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42839064576 + 89023463424 = 206976^2 + 298368^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1806335964 + ... + 1806336036.

Almost surely, 2^131862528000 is an apocalyptic number.

131862528000 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 131862528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280296602820).

131862528000 is an abundant number, since it is smaller than the sum of its proper divisors (428730677640).

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

131862528000 is an frugal number, since it uses more digits than its factorization.

131862528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 131862528000 in words is "one hundred thirty-one billion, eight hundred sixty-two million, five hundred twenty-eight thousand".