130953672 has 192 divisors, whose sum is σ = 396264960. Its totient is φ = 40435200.

The previous prime is 130953661. The next prime is 130953673. The reversal of 130953672 is 276359031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130953673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2470798 + ... + 2470850.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2^130953672 is an apocalyptic number.

130953672 is a gapful number since it is divisible by the number (12) 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 130953672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

130953672 is an abundant number, since it is smaller than the sum of its proper divisors (265311288).

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

130953672 is a wasteful number, since it uses less digits than its factorization.

130953672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 130953672 is about 11443.4991152182. The cubic root of 130953672 is about 507.8154309139.

The spelling of 130953672 in words is "one hundred thirty million, nine hundred fifty-three thousand, six hundred seventy-two".