131954054400 has 2592 divisors, whose sum is σ = 637687185408. Its totient is φ = 26276659200.

The previous prime is 131954054399. The next prime is 131954054467. The reversal of 131954054400 is 4450459131.

It is a happy number.

131954054400 is a `hidden beast` number, since 13 + 19 + 540 + 54 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4256582385 + ... + 4256582415.

Almost surely, 2^131954054400 is an apocalyptic number.

131954054400 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 131954054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318843592704).

131954054400 is an abundant number, since it is smaller than the sum of its proper divisors (505733131008).

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

131954054400 is a wasteful number, since it uses less digits than its factorization.

131954054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 131954054400 in words is "one hundred thirty-one billion, nine hundred fifty-four million, fifty-four thousand, four hundred".