153145405151013 has 64 divisors (see below), whose sum is σ = 232916983971840. Its totient is φ = 88598584588800.

The previous prime is 153145405150987. The next prime is 153145405151017. The reversal of 153145405151013 is 310151504541351.

It is not a de Polignac number, because 153145405151013 - 2⁸ = 153145405150757 is a prime.

It is a super-2 number, since 2×153145405151013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153145405151017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4074189223 + ... + 4074226811.

It is an arithmetic number, because the mean of its divisors is an integer number (3639327874560).

Almost surely, 2^{153145405151013} is an apocalyptic number.

It is an amenable number.

153145405151013 is a deficient number, since it is larger than the sum of its proper divisors (79771578820827).

153145405151013 is a wasteful number, since it uses less digits than its factorization.

153145405151013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48450.

The product of its (nonzero) digits is 90000, while the sum is 39.

Adding to 153145405151013 its reverse (310151504541351), we get a palindrome (463296909692364).

The spelling of 153145405151013 in words is "one hundred fifty-three trillion, one hundred forty-five billion, four hundred five million, one hundred fifty-one thousand, thirteen".