131140144414400 has 252 divisors, whose sum is σ = 354864750395064. Its totient is φ = 47663656550400.

The previous prime is 131140144414397. The next prime is 131140144414427. The reversal of 131140144414400 is 4414441041131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 392260112 + ... + 392594288.

Almost surely, 2^{131140144414400} is an apocalyptic number.

131140144414400 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 131140144414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177432375197532).

131140144414400 is an abundant number, since it is smaller than the sum of its proper divisors (223724605980664).

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

131140144414400 is a wasteful number, since it uses less digits than its factorization.

131140144414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336248 (or 336222 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 131140144414400 its reverse (4414441041131), we get a palindrome (135554585455531).

The spelling of 131140144414400 in words is "one hundred thirty-one trillion, one hundred forty billion, one hundred forty-four million, four hundred fourteen thousand, four hundred".