153135417407 has 16 divisors (see below), whose sum is σ = 177412687872. Its totient is φ = 129463561440.

The previous prime is 153135417397. The next prime is 153135417451. The reversal of 153135417407 is 704714531351.

153135417407 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 153135417407 - 2²⁰ = 153134368831 is a prime.

It is a super-2 number, since 2×153135417407² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153135417107) 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 15 ways as a sum of consecutive naturals, for example, 135557 + ... + 569777.

It is an arithmetic number, because the mean of its divisors is an integer number (11088292992).

Almost surely, 2^153135417407 is an apocalyptic number.

153135417407 is a deficient number, since it is larger than the sum of its proper divisors (24277270465).

153135417407 is an equidigital number, since it uses as much as digits as its factorization.

153135417407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434918.

The product of its (nonzero) digits is 176400, while the sum is 41.

Adding to 153135417407 its reverse (704714531351), we get a palindrome (857849948758).

The spelling of 153135417407 in words is "one hundred fifty-three billion, one hundred thirty-five million, four hundred seventeen thousand, four hundred seven".