130890809952 has 384 divisors, whose sum is σ = 453245829120. Its totient is φ = 35960578560.

The previous prime is 130890809923. The next prime is 130890809957. The reversal of 130890809952 is 259908098031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130890809957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30558403 + ... + 30562685.

It is an arithmetic number, because the mean of its divisors is an integer number (1180327680).

Almost surely, 2^130890809952 is an apocalyptic number.

130890809952 is a gapful number since it is divisible by the number (12) 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 130890809952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226622914560).

130890809952 is an abundant number, since it is smaller than the sum of its proper divisors (322355019168).

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

130890809952 is a wasteful number, since it uses less digits than its factorization.

130890809952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 130890809952 in words is "one hundred thirty billion, eight hundred ninety million, eight hundred nine thousand, nine hundred fifty-two".