130916000 has 96 divisors (see below), whose sum is σ = 335881728. Its totient is φ = 50054400.

The previous prime is 130915973. The next prime is 130916003. The reversal of 130916000 is 619031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (130916003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91289 + ... + 92711.

It is an arithmetic number, because the mean of its divisors is an integer number (3498768).

Almost surely, 2^130916000 is an apocalyptic number.

130916000 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 130916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167940864).

130916000 is an abundant number, since it is smaller than the sum of its proper divisors (204965728).

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

130916000 is a wasteful number, since it uses less digits than its factorization.

130916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 130916000 is about 11441.8529967833. The cubic root of 130916000 is about 507.7667311018.

It can be divided in two parts, 13091 and 6000, that added together give a palindrome (19091).

The spelling of 130916000 in words is "one hundred thirty million, nine hundred sixteen thousand".