130935000 has 320 divisors, whose sum is σ = 494841600. Its totient is φ = 28224000.

The previous prime is 130934977. The next prime is 130935019. The reversal of 130935000 is 539031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3044979 + ... + 3045021.

It is an arithmetic number, because the mean of its divisors is an integer number (1546380).

Almost surely, 2^130935000 is an apocalyptic number.

130935000 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 130935000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247420800).

130935000 is an abundant number, since it is smaller than the sum of its proper divisors (363906600).

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

130935000 is a wasteful number, since it uses less digits than its factorization.

130935000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 130935000 is about 11442.6832517552. The cubic root of 130935000 is about 507.7912941835.

The spelling of 130935000 in words is "one hundred thirty million, nine hundred thirty-five thousand".