4146165133152 has 192 divisors, whose sum is σ = 13624316536320. Its totient is φ = 1076489035776.

The previous prime is 4146165133091. The next prime is 4146165133217. The reversal of 4146165133152 is 2513315616414.

It is a super-2 number, since 2×4146165133152² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5926198 + ... + 6588789.

It is an arithmetic number, because the mean of its divisors is an integer number (70959981960).

Almost surely, 2^{4146165133152} is an apocalyptic number.

4146165133152 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4146165133152 is an abundant number, since it is smaller than the sum of its proper divisors (9478151403168).

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

4146165133152 is a wasteful number, since it uses less digits than its factorization.

4146165133152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12515053 (or 12515045 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 4146165133152 in words is "four trillion, one hundred forty-six billion, one hundred sixty-five million, one hundred thirty-three thousand, one hundred fifty-two".