146005020154125 has 144 divisors (see below), whose sum is σ = 289388503338480. Its totient is φ = 70768828416000.

The previous prime is 146005020154093. The next prime is 146005020154157. The reversal of 146005020154125 is 521451020500641.

146005020154125 is a `hidden beast` number, since 1 + 4 + 60 + 0 + 50 + 2 + 0 + 1 + 541 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (146005020154093) and next prime (146005020154157).

It can be written as a sum of positive squares in 8 ways, for example, as 33038434880649 + 112966585273476 = 5747907^2 + 10628574^2 .

It is not a de Polignac number, because 146005020154125 - 2⁵ = 146005020154093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 146005020154125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 452999029 + ... + 453321221.

It is an arithmetic number, because the mean of its divisors is an integer number (2009642384295).

Almost surely, 2^{146005020154125} is an apocalyptic number.

146005020154125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146005020154125 is a deficient number, since it is larger than the sum of its proper divisors (143383483184355).

146005020154125 is a wasteful number, since it uses less digits than its factorization.

146005020154125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325565 (or 325541 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 146005020154125 its reverse (521451020500641), we get a palindrome (667456040654766).

The spelling of 146005020154125 in words is "one hundred forty-six trillion, five billion, twenty million, one hundred fifty-four thousand, one hundred twenty-five".