131375520 has 288 divisors, whose sum is σ = 484323840. Its totient is φ = 33592320.

The previous prime is 131375513. The next prime is 131375537. The reversal of 131375520 is 25573131.

131375520 is a `hidden beast` number, since 1 + 3 + 137 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1205226 + ... + 1205334.

It is an arithmetic number, because the mean of its divisors is an integer number (1681680).

Almost surely, 2^131375520 is an apocalyptic number.

131375520 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 131375520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242161920).

131375520 is an abundant number, since it is smaller than the sum of its proper divisors (352948320).

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

131375520 is a wasteful number, since it uses less digits than its factorization.

131375520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 131375520 is about 11461.9160701865. The cubic root of 131375520 is about 508.3601306904.

The spelling of 131375520 in words is "one hundred thirty-one million, three hundred seventy-five thousand, five hundred twenty".