131478738624 has 336 divisors, whose sum is σ = 397501628160. Its totient is φ = 43084016640.

The previous prime is 131478738619. The next prime is 131478738673. The reversal of 131478738624 is 426837874131.

131478738624 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 7 + 8 + 7 + 3 + 8 + 624 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337991422 + ... + 337991810.

It is an arithmetic number, because the mean of its divisors is an integer number (1183040560).

Almost surely, 2^131478738624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131478738624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198750814080).

131478738624 is an abundant number, since it is smaller than the sum of its proper divisors (266022889536).

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

131478738624 is a wasteful number, since it uses less digits than its factorization.

131478738624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 708 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 131478738624 in words is "one hundred thirty-one billion, four hundred seventy-eight million, seven hundred thirty-eight thousand, six hundred twenty-four".