152735605321 has 32 divisors (see below), whose sum is σ = 171194365440. Its totient is φ = 135349802496.

The previous prime is 152735605313. The next prime is 152735605369. The reversal of 152735605321 is 123506537251.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 152735605321 - 2³ = 152735605313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152735605621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10997860 + ... + 11011738.

It is an arithmetic number, because the mean of its divisors is an integer number (5349823920).

Almost surely, 2^152735605321 is an apocalyptic number.

It is an amenable number.

152735605321 is a deficient number, since it is larger than the sum of its proper divisors (18458760119).

152735605321 is a wasteful number, since it uses less digits than its factorization.

152735605321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14233.

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 152735605321 in words is "one hundred fifty-two billion, seven hundred thirty-five million, six hundred five thousand, three hundred twenty-one".