146507968693275 has 48 divisors (see below), whose sum is σ = 276847642116864. Its totient is φ = 66970874551680.

The previous prime is 146507968693259. The next prime is 146507968693447. The reversal of 146507968693275 is 572396869705641.

146507968693275 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146507968693275 - 2⁴ = 146507968693259 is a prime.

It is a super-2 number, since 2×146507968693275² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146507968693275.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349629 + ... + 17121278.

It is an arithmetic number, because the mean of its divisors is an integer number (5767659210768).

It is a 1-persistent number, because it is pandigital, but 2⋅146507968693275 = 293015937386550 is not.

Almost surely, 2^{146507968693275} is an apocalyptic number.

146507968693275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146507968693275 is a deficient number, since it is larger than the sum of its proper divisors (130339673423589).

146507968693275 is a wasteful number, since it uses less digits than its factorization.

146507968693275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17486900 (or 17486895 counting only the distinct ones).

The product of its (nonzero) digits is 4115059200, while the sum is 78.

The spelling of 146507968693275 in words is "one hundred forty-six trillion, five hundred seven billion, nine hundred sixty-eight million, six hundred ninety-three thousand, two hundred seventy-five".