131164234042400 has 288 divisors, whose sum is σ = 345449034877968. Its totient is φ = 48343818240000.

The previous prime is 131164234042267. The next prime is 131164234042403. The reversal of 131164234042400 is 4240432461131.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 13686122674576 + 117478111367824 = 3699476^2 + 10838732^2 .

It is not an unprimeable number, because it can be changed into a prime (131164234042403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24874686164 + ... + 24874691436.

Almost surely, 2^{131164234042400} is an apocalyptic number.

131164234042400 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 131164234042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172724517438984).

131164234042400 is an abundant number, since it is smaller than the sum of its proper divisors (214284800835568).

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

131164234042400 is a wasteful number, since it uses less digits than its factorization.

131164234042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9104 (or 9091 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 131164234042400 in words is "one hundred thirty-one trillion, one hundred sixty-four billion, two hundred thirty-four million, forty-two thousand, four hundred".