136313448480 has 480 divisors, whose sum is σ = 529009367040. Its totient is φ = 32781127680.

The previous prime is 136313448473. The next prime is 136313448487. The reversal of 136313448480 is 84844313631.

136313448480 is a `hidden beast` number, since 1 + 3 + 63 + 1 + 34 + 484 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (136313448473) and next prime (136313448487).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×136313448480² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (136313448487) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18101356 + ... + 18108884.

It is an arithmetic number, because the mean of its divisors is an integer number (1102102848).

Almost surely, 2^136313448480 is an apocalyptic number.

136313448480 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 136313448480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264504683520).

136313448480 is an abundant number, since it is smaller than the sum of its proper divisors (392695918560).

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

136313448480 is a wasteful number, since it uses less digits than its factorization.

136313448480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7694 (or 7677 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 136313448480 in words is "one hundred thirty-six billion, three hundred thirteen million, four hundred forty-eight thousand, four hundred eighty".