130142464 has 81 divisors (see below), whose sum is σ = 280604919. Its totient is φ = 60234240.

The previous prime is 130142461. The next prime is 130142473. The reversal of 130142464 is 464241031.

The square root of 130142464 is 11408.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130142461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4198129 + ... + 4198159.

Almost surely, 2^130142464 is an apocalyptic number.

130142464 is the 11408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130142464

130142464 is an abundant number, since it is smaller than the sum of its proper divisors (150462455).

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

130142464 is an frugal number, since it uses more digits than its factorization.

130142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The cubic root of 130142464 is about 506.7646840223.

Multiplying 130142464 by its sum of digits (25), we get a square (3253561600 = 57040²).

Multiplying 130142464 by its product of nonzero digits (2304), we get a square (299848237056 = 547584²).

Adding to 130142464 its reverse (464241031), we get a palindrome (594383495).

The spelling of 130142464 in words is "one hundred thirty million, one hundred forty-two thousand, four hundred sixty-four".