1536304113120 has 96 divisors (see below), whose sum is σ = 5530694819328. Its totient is φ = 351155225088.

The previous prime is 1536304113073. The next prime is 1536304113121. The reversal of 1536304113120 is 213114036351.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1536304113120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1536304113121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228613324 + ... + 228620043.

It is an arithmetic number, because the mean of its divisors is an integer number (57611404368).

Almost surely, 2^{1536304113120} is an apocalyptic number.

1536304113120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1536304113120 is an abundant number, since it is smaller than the sum of its proper divisors (3994390706208).

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

1536304113120 is a wasteful number, since it uses less digits than its factorization.

1536304113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457233392 (or 457233384 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 1536304113120 its reverse (213114036351), we get a palindrome (1749418149471).

The spelling of 1536304113120 in words is "one trillion, five hundred thirty-six billion, three hundred four million, one hundred thirteen thousand, one hundred twenty".