146315605416251 has 8 divisors (see below), whose sum is σ = 154922580720864. Its totient is φ = 137708649554560.

The previous prime is 146315605416209. The next prime is 146315605416313. The reversal of 146315605416251 is 152614506513641.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 146315605416251 - 2¹⁴ = 146315605399867 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 146315605416251.

It is not an unprimeable number, because it can be changed into a prime (146315605416751) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12379946 + ... + 21116208.

It is an arithmetic number, because the mean of its divisors is an integer number (19365322590108).

Almost surely, 2^{146315605416251} is an apocalyptic number.

146315605416251 is a deficient number, since it is larger than the sum of its proper divisors (8606975304613).

146315605416251 is an equidigital number, since it uses as much as digits as its factorization.

146315605416251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9721461.

The product of its (nonzero) digits is 2592000, while the sum is 50.

The spelling of 146315605416251 in words is "one hundred forty-six trillion, three hundred fifteen billion, six hundred five million, four hundred sixteen thousand, two hundred fifty-one".