130144734720 has 2880 divisors, whose sum is σ = 665622397440. Its totient is φ = 23648993280.

The previous prime is 130144734689. The next prime is 130144734791. The reversal of 130144734720 is 27437441031.

130144734720 is a `hidden beast` number, since 1 + 301 + 4 + 4 + 7 + 347 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6849722871 + ... + 6849722889.

It is an arithmetic number, because the mean of its divisors is an integer number (231118888).

Almost surely, 2^130144734720 is an apocalyptic number.

130144734720 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 130144734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332811198720).

130144734720 is an abundant number, since it is smaller than the sum of its proper divisors (535477662720).

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

130144734720 is a wasteful number, since it uses less digits than its factorization.

130144734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 130144734720 in words is "one hundred thirty billion, one hundred forty-four million, seven hundred thirty-four thousand, seven hundred twenty".