153402333006564 has 120 divisors (see below), whose sum is σ = 414858914029560. Its totient is φ = 49370092240896.

The previous prime is 153402333006541. The next prime is 153402333006569. The reversal of 153402333006564 is 465600333204351.

153402333006564 is a `hidden beast` number, since 1 + 5 + 34 + 0 + 23 + 3 + 30 + 0 + 6 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54416588097600 + 98985744908964 = 7376760^2 + 9949158^2 .

It is not an unprimeable number, because it can be changed into a prime (153402333006569) 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 39 ways as a sum of consecutive naturals, for example, 1147870692 + ... + 1148004324.

It is an arithmetic number, because the mean of its divisors is an integer number (3457157616913).

Almost surely, 2^{153402333006564} is an apocalyptic number.

It is an amenable number.

153402333006564 is an abundant number, since it is smaller than the sum of its proper divisors (261456581022996).

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

153402333006564 is a wasteful number, since it uses less digits than its factorization.

153402333006564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255851 (or 255840 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 153402333006564 in words is "one hundred fifty-three trillion, four hundred two billion, three hundred thirty-three million, six thousand, five hundred sixty-four".