152210601504 has 144 divisors (see below), whose sum is σ = 468587718144. Its totient is φ = 46588608000.

The previous prime is 152210601463. The next prime is 152210601511. The reversal of 152210601504 is 405106012251.

152210601504 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 1 + 0 + 601 + 50 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×152210601504³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608679 + ... + 821529.

It is an arithmetic number, because the mean of its divisors is an integer number (3254081376).

Almost surely, 2^152210601504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152210601504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234293859072).

152210601504 is an abundant number, since it is smaller than the sum of its proper divisors (316377116640).

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

152210601504 is a wasteful number, since it uses less digits than its factorization.

152210601504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213071 (or 213060 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 152210601504 its reverse (405106012251), we get a palindrome (557316613755).

The spelling of 152210601504 in words is "one hundred fifty-two billion, two hundred ten million, six hundred one thousand, five hundred four".