130981968 has 160 divisors (see below), whose sum is σ = 411223680. Its totient is φ = 39674880.

The previous prime is 130981967. The next prime is 130981973. The reversal of 130981968 is 869189031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130981967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465988 + ... + 466268.

It is an arithmetic number, because the mean of its divisors is an integer number (2570148).

Almost surely, 2^130981968 is an apocalyptic number.

130981968 is a gapful number since it is divisible by the number (18) 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 130981968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205611840).

130981968 is an abundant number, since it is smaller than the sum of its proper divisors (280241712).

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

130981968 is a wasteful number, since it uses less digits than its factorization.

130981968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 130981968 is about 11444.7353835727. The cubic root of 130981968 is about 507.8520039258.

The spelling of 130981968 in words is "one hundred thirty million, nine hundred eighty-one thousand, nine hundred sixty-eight".