131042552004 has 675 divisors, whose sum is σ = 458596765473. Its totient is φ = 32527692288.

The previous prime is 131042551967. The next prime is 131042552009. The reversal of 131042552004 is 400255240131.

The square root of 131042552004 is 361998.

It is a perfect power (a square), and thus also a powerful number.

131042552004 is a `hidden beast` number, since 1 + 3 + 104 + 2 + 552 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 119626056900 + 11416495104 = 345870^2 + 106848^2 .

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

It is not an unprimeable number, because it can be changed into a prime (131042552009) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 7708385404 + ... + 7708385420.

Almost surely, 2^131042552004 is an apocalyptic number.

131042552004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131042552004 is the 361998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131042552004

131042552004 is an abundant number, since it is smaller than the sum of its proper divisors (327554213469).

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

131042552004 is an equidigital number, since it uses as much as digits as its factorization.

131042552004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 131042552004 its reverse (400255240131), we get a palindrome (531297792135).

The spelling of 131042552004 in words is "one hundred thirty-one billion, forty-two million, five hundred fifty-two thousand, four".