130147430400 has 1560 divisors, whose sum is σ = 557464257504. Its totient is φ = 29727129600.

The previous prime is 130147430393. The next prime is 130147430419. The reversal of 130147430400 is 4034741031.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1833062365 + ... + 1833062435.

Almost surely, 2^130147430400 is an apocalyptic number.

130147430400 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 130147430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278732128752).

130147430400 is an abundant number, since it is smaller than the sum of its proper divisors (427316827104).

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

130147430400 is a wasteful number, since it uses less digits than its factorization.

130147430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 130147430400 in words is "one hundred thirty billion, one hundred forty-seven million, four hundred thirty thousand, four hundred".