131451104000 has 288 divisors, whose sum is σ = 339414147072. Its totient is φ = 50695680000.

The previous prime is 131451103997. The next prime is 131451104051. The reversal of 131451104000 is 401154131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106783385 + ... + 106784615.

It is an arithmetic number, because the mean of its divisors is an integer number (1178521344).

Almost surely, 2^131451104000 is an apocalyptic number.

131451104000 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 131451104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169707073536).

131451104000 is an abundant number, since it is smaller than the sum of its proper divisors (207963043072).

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

131451104000 is an equidigital number, since it uses as much as digits as its factorization.

131451104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 131451104000 its reverse (401154131), we get a palindrome (131852258131).

The spelling of 131451104000 in words is "one hundred thirty-one billion, four hundred fifty-one million, one hundred four thousand".