146098000 has 80 divisors (see below), whose sum is σ = 374132304. Its totient is φ = 54988800.

The previous prime is 146097979. The next prime is 146098013. The reversal of 146098000 is 890641.

It can be written as a sum of positive squares in 8 ways, for example, as 26501904 + 119596096 = 5148^2 + 10936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 146098000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31852 + ... + 36148.

Almost surely, 2^146098000 is an apocalyptic number.

146098000 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 146098000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187066152).

146098000 is an abundant number, since it is smaller than the sum of its proper divisors (228034304).

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

146098000 is a wasteful number, since it uses less digits than its factorization.

146098000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 146098000 is about 12087.1005621696. The cubic root of 146098000 is about 526.6815320983.

The spelling of 146098000 in words is "one hundred forty-six million, ninety-eight thousand".