146166912 has 96 divisors (see below), whose sum is σ = 423537660. Its totient is φ = 48384000.

The previous prime is 146166907. The next prime is 146166913. The reversal of 146166912 is 219661641.

It can be written as a sum of positive squares in 2 ways, for example, as 143424576 + 2742336 = 11976^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (146166913) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208162 + ... + 208862.

Almost surely, 2^146166912 is an apocalyptic number.

146166912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146166912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211768830).

146166912 is an abundant number, since it is smaller than the sum of its proper divisors (277370748).

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

146166912 is a wasteful number, since it uses less digits than its factorization.

146166912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 887 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 146166912 is about 12089.9508683865. The cubic root of 146166912 is about 526.7643280588.

It can be divided in two parts, 1461669 and 12, that added together give a square (1461681 = 1209²).

The spelling of 146166912 in words is "one hundred forty-six million, one hundred sixty-six thousand, nine hundred twelve".