146773000 has 96 divisors (see below), whose sum is σ = 377821080. Its totient is φ = 53328000.

The previous prime is 146772971. The next prime is 146773001. The reversal of 146773000 is 377641.

It can be written as a sum of positive squares in 4 ways, for example, as 11329956 + 135443044 = 3366^2 + 11638^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 146773000.

It is not an unprimeable number, because it can be changed into a prime (146773001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120394 + ... + 121606.

Almost surely, 2^146773000 is an apocalyptic number.

146773000 is a gapful number since it is divisible by the number (10) 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 146773000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188910540).

146773000 is an abundant number, since it is smaller than the sum of its proper divisors (231048080).

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

146773000 is a wasteful number, since it uses less digits than its factorization.

146773000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 146773000 is about 12114.9907139874. The cubic root of 146773000 is about 527.4914084088.

It can be divided in two parts, 146 and 773000, that added together give a triangular number (773146 = T₁₂₄₃).

The spelling of 146773000 in words is "one hundred forty-six million, seven hundred seventy-three thousand".