146105872 has 40 divisors (see below), whose sum is σ = 311221152. Its totient is φ = 65894400.

The previous prime is 146105849. The next prime is 146105879. The reversal of 146105872 is 278501641.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (146105879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19888 + ... + 26224.

Almost surely, 2^146105872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146105872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155610576).

146105872 is an abundant number, since it is smaller than the sum of its proper divisors (165115280).

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

146105872 is a wasteful number, since it uses less digits than its factorization.

146105872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6487 (or 6481 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 146105872 is about 12087.4261941904. The cubic root of 146105872 is about 526.6909914169.

The spelling of 146105872 in words is "one hundred forty-six million, one hundred five thousand, eight hundred seventy-two".