146085300 has 108 divisors (see below), whose sum is σ = 482052480. Its totient is φ = 36901440.

The previous prime is 146085257. The next prime is 146085323. The reversal of 146085300 is 3580641.

146085300 is a `hidden beast` number, since 1 + 4 + 608 + 53 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 12829 + ... + 21371.

Almost surely, 2^146085300 is an apocalyptic number.

146085300 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 146085300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241026240).

146085300 is an abundant number, since it is smaller than the sum of its proper divisors (335967180).

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

146085300 is a wasteful number, since it uses less digits than its factorization.

146085300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8582 (or 8572 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 146085300 is about 12086.5751973005. The cubic root of 146085300 is about 526.6662705404. Note that the first 3 decimals are identical.

The spelling of 146085300 in words is "one hundred forty-six million, eighty-five thousand, three hundred".