146581162290675 has 72 divisors (see below), whose sum is σ = 300503247052320. Its totient is φ = 66907156377600.

The previous prime is 146581162290613. The next prime is 146581162290679. The reversal of 146581162290675 is 576092261185641.

It is a happy number.

146581162290675 is a `hidden beast` number, since 1 + 46 + 5 + 81 + 162 + 290 + 6 + 75 = 666.

It is not a de Polignac number, because 146581162290675 - 2¹⁶ = 146581162225139 is a prime.

It is a super-2 number, since 2×146581162290675² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (146581162290679) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69357870 + ... + 71440019.

It is an arithmetic number, because the mean of its divisors is an integer number (4173656209060).

Almost surely, 2^{146581162290675} is an apocalyptic number.

146581162290675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146581162290675 is an abundant number, since it is smaller than the sum of its proper divisors (153922084761645).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146581162290675 is a wasteful number, since it uses less digits than its factorization.

146581162290675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140798573 (or 140798565 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 146581162290675 in words is "one hundred forty-six trillion, five hundred eighty-one billion, one hundred sixty-two million, two hundred ninety thousand, six hundred seventy-five".