153402461462225 has 24 divisors (see below), whose sum is σ = 193810617078840. Its totient is φ = 120404890910720.

The previous prime is 153402461462197. The next prime is 153402461462311. The reversal of 153402461462225 is 522264164204351.

It can be written as a sum of positive squares in 12 ways, for example, as 240476467456 + 153161984994769 = 490384^2 + 12375863^2 .

It is not a de Polignac number, because 153402461462225 - 2¹⁴ = 153402461445841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 153402461462225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106713041 + ... + 108141009.

It is an arithmetic number, because the mean of its divisors is an integer number (8075442378285).

Almost surely, 2^{153402461462225} is an apocalyptic number.

It is an amenable number.

153402461462225 is a deficient number, since it is larger than the sum of its proper divisors (40408155616615).

153402461462225 is a wasteful number, since it uses less digits than its factorization.

153402461462225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509109 (or 1509104 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 47.

The spelling of 153402461462225 in words is "one hundred fifty-three trillion, four hundred two billion, four hundred sixty-one million, four hundred sixty-two thousand, two hundred twenty-five".