130144416 has 48 divisors (see below), whose sum is σ = 343766304. Its totient is φ = 43110144.

The previous prime is 130144409. The next prime is 130144423. The reversal of 130144416 is 614441031.

It is an interprime number because it is at equal distance from previous prime (130144409) and next prime (130144423).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11490 + ... + 19806.

It is an arithmetic number, because the mean of its divisors is an integer number (7161798).

Almost surely, 2^130144416 is an apocalyptic number.

130144416 is a gapful number since it is divisible by the number (16) 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 130144416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171883152).

130144416 is an abundant number, since it is smaller than the sum of its proper divisors (213621888).

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

130144416 is a wasteful number, since it uses less digits than its factorization.

130144416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8493 (or 8485 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 130144416 is about 11408.0855536764. The cubic root of 130144416 is about 506.7672176553.

Adding to 130144416 its reverse (614441031), we get a palindrome (744585447).

The spelling of 130144416 in words is "one hundred thirty million, one hundred forty-four thousand, four hundred sixteen".