153442013165221 has 64 divisors (see below), whose sum is σ = 179755067600640. Its totient is φ = 129652391680000.

The previous prime is 153442013165201. The next prime is 153442013165251. The reversal of 153442013165221 is 122561310244351.

It is a cyclic number.

It is not a de Polignac number, because 153442013165221 - 2⁷ = 153442013165093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153442013165201) 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 63 ways as a sum of consecutive naturals, for example, 386848626 + ... + 387245068.

It is an arithmetic number, because the mean of its divisors is an integer number (2808672931260).

Almost surely, 2^{153442013165221} is an apocalyptic number.

153442013165221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

153442013165221 is a deficient number, since it is larger than the sum of its proper divisors (26313054435419).

153442013165221 is a wasteful number, since it uses less digits than its factorization.

153442013165221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396918.

The product of its (nonzero) digits is 172800, while the sum is 40.

It can be divided in two parts, 1534420 and 13165221, that added together give a palindrome (14699641).

The spelling of 153442013165221 in words is "one hundred fifty-three trillion, four hundred forty-two billion, thirteen million, one hundred sixty-five thousand, two hundred twenty-one".