130357632 has 128 divisors (see below), whose sum is σ = 386294400. Its totient is φ = 38707200.

The previous prime is 130357631. The next prime is 130357657. The reversal of 130357632 is 236753031.

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

It is a super-2 number, since 2×130357632² = 33986224441294848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 130357632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130357631) 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, 123507 + ... + 124557.

It is an arithmetic number, because the mean of its divisors is an integer number (3017925).

Almost surely, 2^130357632 is an apocalyptic number.

130357632 is a gapful number since it is divisible by the number (12) 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 130357632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193147200).

130357632 is an abundant number, since it is smaller than the sum of its proper divisors (255936768).

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

130357632 is a wasteful number, since it uses less digits than its factorization.

130357632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 130357632 is about 11417.4266802988. The cubic root of 130357632 is about 507.0438127624.

The spelling of 130357632 in words is "one hundred thirty million, three hundred fifty-seven thousand, six hundred thirty-two".