130945440 has 192 divisors, whose sum is σ = 446342400. Its totient is φ = 32169984.

The previous prime is 130945439. The next prime is 130945447. The reversal of 130945440 is 44549031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 130945398 and 130945407.

It is not an unprimeable number, because it can be changed into a prime (130945447) 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, 319956 + ... + 320364.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 2^130945440 is an apocalyptic number.

130945440 is a gapful number since it is divisible by the number (10) 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 130945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223171200).

130945440 is an abundant number, since it is smaller than the sum of its proper divisors (315396960).

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

130945440 is a wasteful number, since it uses less digits than its factorization.

130945440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 130945440 is about 11443.1394293699. The cubic root of 130945440 is about 507.8047899390.

The spelling of 130945440 in words is "one hundred thirty million, nine hundred forty-five thousand, four hundred forty".