146111872 has 64 divisors (see below), whose sum is σ = 312303600. Its totient is φ = 67846144.

The previous prime is 146111863. The next prime is 146111873. The reversal of 146111872 is 278111641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146111873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180204 + ... + 181012.

Almost surely, 2^146111872 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 146111872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156151800).

146111872 is an abundant number, since it is smaller than the sum of its proper divisors (166191728).

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

146111872 is an equidigital number, since it uses as much as digits as its factorization.

146111872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 911 counting only the distinct ones).

The product of its digits is 2688, while the sum is 31.

The square root of 146111872 is about 12087.6743834370. The cubic root of 146111872 is about 526.6982010352.

The spelling of 146111872 in words is "one hundred forty-six million, one hundred eleven thousand, eight hundred seventy-two".