152561645130006 has 96 divisors (see below), whose sum is σ = 380846060861760. Its totient is φ = 43235282608128.

The previous prime is 152561645129951. The next prime is 152561645130043. The reversal of 152561645130006 is 600031546165251.

152561645130006 is a `hidden beast` number, since 1 + 5 + 2 + 561 + 6 + 4 + 51 + 30 + 0 + 0 + 6 = 666.

It is a Curzon number.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4479030 + ... + 18032886.

It is an arithmetic number, because the mean of its divisors is an integer number (3967146467310).

Almost surely, 2^{152561645130006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152561645130006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190423030430880).

152561645130006 is an abundant number, since it is smaller than the sum of its proper divisors (228284415731754).

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

152561645130006 is a wasteful number, since it uses less digits than its factorization.

152561645130006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13554598 (or 13554595 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 152561645130006 in words is "one hundred fifty-two trillion, five hundred sixty-one billion, six hundred forty-five million, one hundred thirty thousand, six".