131778735048 has 192 divisors, whose sum is σ = 374381654400. Its totient is φ = 41821194240.

The previous prime is 131778735007. The next prime is 131778735059. The reversal of 131778735048 is 840537877131.

131778735048 is a `hidden beast` number, since 1 + 3 + 177 + 87 + 350 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131778734985 and 131778735003.

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, 49782861 + ... + 49785507.

It is an arithmetic number, because the mean of its divisors is an integer number (1949904450).

Almost surely, 2^131778735048 is an apocalyptic number.

131778735048 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 131778735048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187190827200).

131778735048 is an abundant number, since it is smaller than the sum of its proper divisors (242602919352).

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

131778735048 is a wasteful number, since it uses less digits than its factorization.

131778735048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 131778735048 in words is "one hundred thirty-one billion, seven hundred seventy-eight million, seven hundred thirty-five thousand, forty-eight".