130435746480 has 120 divisors (see below), whose sum is σ = 471742650288. Its totient is φ = 32107258368.

The previous prime is 130435746461. The next prime is 130435746487. The reversal of 130435746480 is 84647534031.

130435746480 is a `hidden beast` number, since 1 + 30 + 4 + 3 + 574 + 6 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (130435746487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6958362 + ... + 6977081.

Almost surely, 2^130435746480 is an apocalyptic number.

130435746480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130435746480 is an abundant number, since it is smaller than the sum of its proper divisors (341306903808).

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

130435746480 is a wasteful number, since it uses less digits than its factorization.

130435746480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13935475 (or 13935466 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 130435746480 in words is "one hundred thirty billion, four hundred thirty-five million, seven hundred forty-six thousand, four hundred eighty".