130955616 has 144 divisors (see below), whose sum is σ = 421581888. Its totient is φ = 39657600.

The previous prime is 130955567. The next prime is 130955621. The reversal of 130955616 is 616559031.

130955616 is a `hidden beast` number, since 1 + 3 + 0 + 95 + 561 + 6 = 666.

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

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

It is a congruent number.

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, 84771 + ... + 86301.

It is an arithmetic number, because the mean of its divisors is an integer number (2927652).

Almost surely, 2^130955616 is an apocalyptic number.

130955616 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 130955616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210790944).

130955616 is an abundant number, since it is smaller than the sum of its proper divisors (290626272).

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

130955616 is a wasteful number, since it uses less digits than its factorization.

130955616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 130955616 is about 11443.5840539579. The cubic root of 130955616 is about 507.8179437321.

The spelling of 130955616 in words is "one hundred thirty million, nine hundred fifty-five thousand, six hundred sixteen".