130552142400 has 189 divisors, whose sum is σ = 464167296073. Its totient is φ = 34802342400.

The previous prime is 130552142381. The next prime is 130552142417. The reversal of 130552142400 is 4241255031.

The square root of 130552142400 is 361320.

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

130552142400 is a `hidden beast` number, since 1 + 30 + 552 + 1 + 42 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46998771264 + 83553371136 = 216792^2 + 289056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43356895 + ... + 43359905.

Almost surely, 2^130552142400 is an apocalyptic number.

130552142400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

130552142400 is the 361320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130552142400

130552142400 is an abundant number, since it is smaller than the sum of its proper divisors (333615153673).

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

130552142400 is an frugal number, since it uses more digits than its factorization.

130552142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6050 (or 3021 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 130552142400 its reverse (4241255031), we get a palindrome (134793397431).

It can be divided in two parts, 1305521 and 42400, that added together give a square (1347921 = 1161²).

The spelling of 130552142400 in words is "one hundred thirty billion, five hundred fifty-two million, one hundred forty-two thousand, four hundred".