130149600 has 288 divisors, whose sum is σ = 495968256. Its totient is φ = 29030400.

The previous prime is 130149599. The next prime is 130149623. The reversal of 130149600 is 6941031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1024737 + ... + 1024863.

It is an arithmetic number, because the mean of its divisors is an integer number (1722112).

Almost surely, 2^130149600 is an apocalyptic number.

130149600 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 130149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247984128).

130149600 is an abundant number, since it is smaller than the sum of its proper divisors (365818656).

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

130149600 is a wasteful number, since it uses less digits than its factorization.

130149600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 130149600 is about 11408.3127586861. The cubic root of 130149600 is about 506.7739461970.

The spelling of 130149600 in words is "one hundred thirty million, one hundred forty-nine thousand, six hundred".