130701440 has 128 divisors (see below), whose sum is σ = 340063920. Its totient is φ = 47841280.

The previous prime is 130701419. The next prime is 130701443. The reversal of 130701440 is 44107031.

It can be written as a sum of positive squares in 8 ways, for example, as 74511424 + 56190016 = 8632^2 + 7496^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (130701443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445934 + ... + 446226.

Almost surely, 2^130701440 is an apocalyptic number.

130701440 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 130701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170031960).

130701440 is an abundant number, since it is smaller than the sum of its proper divisors (209362480).

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

130701440 is a wasteful number, since it uses less digits than its factorization.

130701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 130701440 is about 11432.4730482954. The cubic root of 130701440 is about 507.4891841710.

Adding to 130701440 its reverse (44107031), we get a palindrome (174808471).

The spelling of 130701440 in words is "one hundred thirty million, seven hundred one thousand, four hundred forty".