130967424 has 192 divisors, whose sum is σ = 437580000. Its totient is φ = 36827136.

The previous prime is 130967413. The next prime is 130967429. The reversal of 130967424 is 424769031.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×130967424² = 34304932298391552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130967429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878902 + ... + 879050.

Almost surely, 2^130967424 is an apocalyptic number.

130967424 is a gapful number since it is divisible by the number (14) 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 130967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218790000).

130967424 is an abundant number, since it is smaller than the sum of its proper divisors (306612576).

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

130967424 is a wasteful number, since it uses less digits than its factorization.

130967424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 130967424 is about 11444.0999646106. The cubic root of 130967424 is about 507.8332062418.

The spelling of 130967424 in words is "one hundred thirty million, nine hundred sixty-seven thousand, four hundred twenty-four".