153365004314136 has 256 divisors, whose sum is σ = 470758262400000. Its totient is φ = 46015455062016.

The previous prime is 153365004314129. The next prime is 153365004314141. The reversal of 153365004314136 is 631413400563351.

It is a happy number.

153365004314136 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 6 + 500 + 4 + 3 + 1 + 4 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 153365004314091 and 153365004314100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 558877090 + ... + 559151438.

It is an arithmetic number, because the mean of its divisors is an integer number (1838899462500).

Almost surely, 2^{153365004314136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153365004314136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235379131200000).

153365004314136 is an abundant number, since it is smaller than the sum of its proper divisors (317393258085864).

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

153365004314136 is a wasteful number, since it uses less digits than its factorization.

153365004314136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281023 (or 281013 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

Adding to 153365004314136 its reverse (631413400563351), we get a palindrome (784778404877487).

The spelling of 153365004314136 in words is "one hundred fifty-three trillion, three hundred sixty-five billion, four million, three hundred fourteen thousand, one hundred thirty-six".