130754752200 has 252 divisors, whose sum is σ = 456280506465. Its totient is φ = 34831114560.

The previous prime is 130754752189. The next prime is 130754752201. The reversal of 130754752200 is 2257457031.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 128139657156 + 2615095044 = 357966^2 + 51138^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=255690.

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

It is not an unprimeable number, because it can be changed into a prime (130754752201) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 138072127 + ... + 138073073.

Almost surely, 2^130754752200 is an apocalyptic number.

130754752200 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 130754752200

130754752200 is an abundant number, since it is smaller than the sum of its proper divisors (325525754265).

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

130754752200 is an frugal number, since it uses more digits than its factorization.

130754752200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 130754752200 in words is "one hundred thirty billion, seven hundred fifty-four million, seven hundred fifty-two thousand, two hundred".