130052000 has 192 divisors, whose sum is σ = 358289568. Its totient is φ = 46080000.

The previous prime is 130051997. The next prime is 130052029. The reversal of 130052000 is 250031.

It can be written as a sum of positive squares in 16 ways, for example, as 91164304 + 38887696 = 9548^2 + 6236^2 .

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 31 ways as a sum of consecutive naturals, for example, 2131970 + ... + 2132030.

Almost surely, 2^130052000 is an apocalyptic number.

130052000 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 130052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179144784).

130052000 is an abundant number, since it is smaller than the sum of its proper divisors (228237568).

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

130052000 is a wasteful number, since it uses less digits than its factorization.

130052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 130052000 is about 11404.0343738521. The cubic root of 130052000 is about 506.6472368665.

It can be divided in two parts, 13005 and 2000, that multiplied together give a square (26010000 = 5100²).

The spelling of 130052000 in words is "one hundred thirty million, fifty-two thousand".