131445407600 has 360 divisors, whose sum is σ = 369156664128. Its totient is φ = 44682854400.

The previous prime is 131445407573. The next prime is 131445407623. The reversal of 131445407600 is 6704544131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70630670 + ... + 70632530.

Almost surely, 2^131445407600 is an apocalyptic number.

131445407600 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 131445407600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184578332064).

131445407600 is an abundant number, since it is smaller than the sum of its proper divisors (237711256528).

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

131445407600 is a wasteful number, since it uses less digits than its factorization.

131445407600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 131445407600 in words is "one hundred thirty-one billion, four hundred forty-five million, four hundred seven thousand, six hundred".