131398670448 has 200 divisors, whose sum is σ = 383502240000. Its totient is φ = 43433179776.

The previous prime is 131398670437. The next prime is 131398670449. The reversal of 131398670448 is 844076893131.

131398670448 is a `hidden beast` number, since 1 + 3 + 139 + 8 + 67 + 0 + 448 = 666.

It is a super-2 number, since 2×131398670448² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131398670394 and 131398670403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131398670449) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87656803 + ... + 87658301.

It is an arithmetic number, because the mean of its divisors is an integer number (1917511200).

Almost surely, 2^131398670448 is an apocalyptic number.

131398670448 is a gapful number since it is divisible by the number (18) 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 131398670448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191751120000).

131398670448 is an abundant number, since it is smaller than the sum of its proper divisors (252103569552).

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

131398670448 is a wasteful number, since it uses less digits than its factorization.

131398670448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 131398670448 in words is "one hundred thirty-one billion, three hundred ninety-eight million, six hundred seventy thousand, four hundred forty-eight".