131778648596928 has 224 divisors, whose sum is σ = 397651673640960. Its totient is φ = 38269188587520.

The previous prime is 131778648596921. The next prime is 131778648596939. The reversal of 131778648596928 is 829695846877131.

131778648596928 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131778648596928² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131778648596921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25985083 + ... + 30639546.

Almost surely, 2^{131778648596928} is an apocalyptic number.

It is an amenable number.

131778648596928 is an abundant number, since it is smaller than the sum of its proper divisors (265873025044032).

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

131778648596928 is a wasteful number, since it uses less digits than its factorization.

131778648596928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56624715 (or 56624705 counting only the distinct ones).

The product of its digits is 8778792960, while the sum is 84.

The spelling of 131778648596928 in words is "one hundred thirty-one trillion, seven hundred seventy-eight billion, six hundred forty-eight million, five hundred ninety-six thousand, nine hundred twenty-eight".