146121010456635 has 24 divisors (see below), whose sum is σ = 258055218471024. Its totient is φ = 76460805470400.

The previous prime is 146121010456559. The next prime is 146121010456643. The reversal of 146121010456635 is 536654010121641.

146121010456635 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 2 + 1 + 0 + 1 + 0 + 4 + 5 + 6 + 635 = 666.

It is not a de Polignac number, because 146121010456635 - 2¹² = 146121010452539 is a prime.

It is a super-2 number, since 2×146121010456635² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 30633333141 + ... + 30633337910.

It is an arithmetic number, because the mean of its divisors is an integer number (10752300769626).

Almost surely, 2^{146121010456635} is an apocalyptic number.

146121010456635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

146121010456635 is a deficient number, since it is larger than the sum of its proper divisors (111934208014389).

146121010456635 is a wasteful number, since it uses less digits than its factorization.

146121010456635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61266671115 (or 61266671112 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 146121010456635 in words is "one hundred forty-six trillion, one hundred twenty-one billion, ten million, four hundred fifty-six thousand, six hundred thirty-five".