144002153634125 has 64 divisors (see below), whose sum is σ = 189077704358400. Its totient is φ = 109335384256000.

The previous prime is 144002153634113. The next prime is 144002153634127. The reversal of 144002153634125 is 521436351200441.

144002153634125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144002153634125 - 2⁸ = 144002153633869 is a prime.

It is a super-3 number, since 3×144002153634125³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144002153634127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4474462784 + ... + 4474494966.

It is an arithmetic number, because the mean of its divisors is an integer number (2954339130600).

Almost surely, 2^{144002153634125} is an apocalyptic number.

It is an amenable number.

144002153634125 is a deficient number, since it is larger than the sum of its proper divisors (45075550724275).

144002153634125 is a wasteful number, since it uses less digits than its factorization.

144002153634125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53207 (or 53197 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 144002153634125 in words is "one hundred forty-four trillion, two billion, one hundred fifty-three million, six hundred thirty-four thousand, one hundred twenty-five".