130733856 has 144 divisors (see below), whose sum is σ = 419852160. Its totient is φ = 38223360.

The previous prime is 130733849. The next prime is 130733879. The reversal of 130733856 is 658337031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×130733856² = 34182682209257472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 130733856.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91161 + ... + 92583.

It is an arithmetic number, because the mean of its divisors is an integer number (2915640).

Almost surely, 2^130733856 is an apocalyptic number.

130733856 is a gapful number since it is divisible by the number (16) 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 130733856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209926080).

130733856 is an abundant number, since it is smaller than the sum of its proper divisors (289118304).

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

130733856 is a wasteful number, since it uses less digits than its factorization.

130733856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 130733856 is about 11433.8906764058. The cubic root of 130733856 is about 507.5311357862.

The spelling of 130733856 in words is "one hundred thirty million, seven hundred thirty-three thousand, eight hundred fifty-six".