131598720 has 384 divisors, whose sum is σ = 519367680. Its totient is φ = 30412800.

The previous prime is 131598707. The next prime is 131598739. The reversal of 131598720 is 27895131.

131598720 = T₂₁₆₀ + T₂₁₆₁ + ... + T₂₂₁₄.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1964127 + ... + 1964193.

It is an arithmetic number, because the mean of its divisors is an integer number (1352520).

Almost surely, 2^131598720 is an apocalyptic number.

131598720 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 131598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259683840).

131598720 is an abundant number, since it is smaller than the sum of its proper divisors (387768960).

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

131598720 is a wasteful number, since it uses less digits than its factorization.

131598720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 131598720 is about 11471.6485301808. The cubic root of 131598720 is about 508.6478600538.

The spelling of 131598720 in words is "one hundred thirty-one million, five hundred ninety-eight thousand, seven hundred twenty".