146020130364225 has 288 divisors, whose sum is σ = 270372449698560. Its totient is φ = 69473431572480.

The previous prime is 146020130364197. The next prime is 146020130364257. The reversal of 146020130364225 is 522463031020641.

It is not a de Polignac number, because 146020130364225 - 2¹¹ = 146020130362177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 12667655412 + ... + 12667666938.

It is an arithmetic number, because the mean of its divisors is an integer number (938793228120).

Almost surely, 2^{146020130364225} is an apocalyptic number.

146020130364225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146020130364225 is a deficient number, since it is larger than the sum of its proper divisors (124352319334335).

146020130364225 is a wasteful number, since it uses less digits than its factorization.

146020130364225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11901 (or 11883 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 146020130364225 its reverse (522463031020641), we get a palindrome (668483161384866).

The spelling of 146020130364225 in words is "one hundred forty-six trillion, twenty billion, one hundred thirty million, three hundred sixty-four thousand, two hundred twenty-five".