131628107520 has 864 divisors, whose sum is σ = 563922463104. Its totient is φ = 27603763200.

The previous prime is 131628107519. The next prime is 131628107537. The reversal of 131628107520 is 25701826131.

131628107520 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 28 + 107 + 520 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 252644860 + ... + 252645380.

It is an arithmetic number, because the mean of its divisors is an integer number (652688036).

Almost surely, 2^131628107520 is an apocalyptic number.

131628107520 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 131628107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281961231552).

131628107520 is an abundant number, since it is smaller than the sum of its proper divisors (432294355584).

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

131628107520 is a wasteful number, since it uses less digits than its factorization.

131628107520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 131628107520 in words is "one hundred thirty-one billion, six hundred twenty-eight million, one hundred seven thousand, five hundred twenty".