153214908756001 has 9 divisors (see below), whose sum is σ = 153856288803609. Its totient is φ = 152576191526400.

The previous prime is 153214908755981. The next prime is 153214908756017. The reversal of 153214908756001 is 100657809412351.

The square root of 153214908756001 is 12378001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15849945477601 + 137364963278400 = 3981199^2 + 11720280^2 .

It is not a de Polignac number, because 153214908756001 - 2²⁹ = 153214371885089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 153214908756001.

It is not an unprimeable number, because it can be changed into a prime (153214908756101) 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 8 ways as a sum of consecutive naturals, for example, 2983072561 + ... + 2983123921.

It is an arithmetic number, because the mean of its divisors is an integer number (17095143200401).

It is a 2-persistent number, because it is pandigital, and so is 2⋅153214908756001 = 306429817512002, but 3⋅153214908756001 = 459644726268003 is not.

Almost surely, 2^{153214908756001} is an apocalyptic number.

153214908756001 is the 12378001-st square number.

153214908756001 is the 6189001-st centered octagonal number.

It is an amenable number.

153214908756001 is a deficient number, since it is larger than the sum of its proper divisors (641380047608).

153214908756001 is an frugal number, since it uses more digits than its factorization.

153214908756001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103204 (or 51602 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 153214908756001 in words is "one hundred fifty-three trillion, two hundred fourteen billion, nine hundred eight million, seven hundred fifty-six thousand, one".