130145040 has 240 divisors, whose sum is σ = 473541120. Its totient is φ = 31933440.

The previous prime is 130145023. The next prime is 130145053. The reversal of 130145040 is 40541031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 480105 + ... + 480375.

It is an arithmetic number, because the mean of its divisors is an integer number (1973088).

Almost surely, 2^130145040 is an apocalyptic number.

130145040 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 130145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236770560).

130145040 is an abundant number, since it is smaller than the sum of its proper divisors (343396080).

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

130145040 is a wasteful number, since it uses less digits than its factorization.

130145040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130145040 is about 11408.1129026671. The cubic root of 130145040 is about 506.7680275818.

Adding to 130145040 its reverse (40541031), we get a palindrome (170686071).

The spelling of 130145040 in words is "one hundred thirty million, one hundred forty-five thousand, forty".