131474228198400 has 528 divisors, whose sum is σ = 482992802380000. Its totient is φ = 35046534021120.

The previous prime is 131474228198393. The next prime is 131474228198531. The reversal of 131474228198400 is 4891822474131.

It is a happy number.

131474228198400 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 7 + 4 + 228 + 1 + 9 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1900074204 + ... + 1900143396.

Almost surely, 2^{131474228198400} is an apocalyptic number.

131474228198400 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 131474228198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241496401190000).

131474228198400 is an abundant number, since it is smaller than the sum of its proper divisors (351518574181600).

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

131474228198400 is a wasteful number, since it uses less digits than its factorization.

131474228198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71981 (or 71952 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 131474228198400 in words is "one hundred thirty-one trillion, four hundred seventy-four billion, two hundred twenty-eight million, one hundred ninety-eight thousand, four hundred".