131725440 has 576 divisors, whose sum is σ = 592562880. Its totient is φ = 27371520.

The previous prime is 131725421. The next prime is 131725441. The reversal of 131725440 is 44527131.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-6 number, since 6×131725440⁶ (a number of 50 digits) contains 666666 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131725441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11975035 + ... + 11975045.

It is an arithmetic number, because the mean of its divisors is an integer number (1028755).

Almost surely, 2^131725440 is an apocalyptic number.

131725440 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 131725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296281440).

131725440 is an abundant number, since it is smaller than the sum of its proper divisors (460837440).

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

131725440 is an equidigital number, since it uses as much as digits as its factorization.

131725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 131725440 is about 11477.1703829820. The cubic root of 131725440 is about 508.8110713148.

Multiplying 131725440 by its product of nonzero digits (3360), we get a square (442597478400 = 665280²).

131725440 divided by its product of nonzero digits (3360) gives a square (39204 = 198²).

The spelling of 131725440 in words is "one hundred thirty-one million, seven hundred twenty-five thousand, four hundred forty".