130090315950 has 192 divisors, whose sum is σ = 412675729920. Its totient is φ = 29517592320.

The previous prime is 130090315909. The next prime is 130090315951. The reversal of 130090315950 is 59513090031.

130090315950 is a `hidden beast` number, since 1 + 30 + 0 + 9 + 0 + 31 + 595 + 0 = 666.

130090315950 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130090315951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1244409 + ... + 1344891.

It is an arithmetic number, because the mean of its divisors is an integer number (2149352760).

Almost surely, 2^130090315950 is an apocalyptic number.

130090315950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130090315950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206337864960).

130090315950 is an abundant number, since it is smaller than the sum of its proper divisors (282585413970).

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

130090315950 is a wasteful number, since it uses less digits than its factorization.

130090315950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100648 (or 100637 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

It can be divided in two parts, 130090 and 315950, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 130090315950 in words is "one hundred thirty billion, ninety million, three hundred fifteen thousand, nine hundred fifty".