136484219520 has 384 divisors, whose sum is σ = 516350764800. Its totient is φ = 32944988160.

The previous prime is 136484219497. The next prime is 136484219561. The reversal of 136484219520 is 25912484631.

136484219520 is a `hidden beast` number, since 1 + 36 + 4 + 84 + 2 + 19 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15138534 + ... + 15147546.

It is an arithmetic number, because the mean of its divisors is an integer number (1344663450).

Almost surely, 2^136484219520 is an apocalyptic number.

136484219520 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 136484219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258175382400).

136484219520 is an abundant number, since it is smaller than the sum of its proper divisors (379866545280).

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

136484219520 is a wasteful number, since it uses less digits than its factorization.

136484219520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9288 (or 9273 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 136484219520 in words is "one hundred thirty-six billion, four hundred eighty-four million, two hundred nineteen thousand, five hundred twenty".