130737600 has 252 divisors, whose sum is σ = 531463504. Its totient is φ = 29859840.

The previous prime is 130737583. The next prime is 130737601. The reversal of 130737600 is 6737031.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130737601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100152 + ... + 101448.

Almost surely, 2^130737600 is an apocalyptic number.

130737600 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 130737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265731752).

130737600 is an abundant number, since it is smaller than the sum of its proper divisors (400725904).

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

130737600 is a wasteful number, since it uses less digits than its factorization.

130737600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 27.

The square root of 130737600 is about 11434.0543990310. The cubic root of 130737600 is about 507.5359806889.

The spelling of 130737600 in words is "one hundred thirty million, seven hundred thirty-seven thousand, six hundred".