131577060 has 48 divisors (see below), whose sum is σ = 381124800. Its totient is φ = 33876864.

The previous prime is 131577049. The next prime is 131577067. The reversal of 131577060 is 60775131.

It is a super-5 number, since 5×131577060⁵ (a number of 42 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (131577067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36070 + ... + 39549.

It is an arithmetic number, because the mean of its divisors is an integer number (7940100).

Almost surely, 2^131577060 is an apocalyptic number.

131577060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131577060 is an abundant number, since it is smaller than the sum of its proper divisors (249547740).

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

131577060 is a wasteful number, since it uses less digits than its factorization.

131577060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75660 (or 75658 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 131577060 is about 11470.7044247509. The cubic root of 131577060 is about 508.6199521908.

The spelling of 131577060 in words is "one hundred thirty-one million, five hundred seventy-seven thousand, sixty".