146089800 has 144 divisors (see below), whose sum is σ = 494069940. Its totient is φ = 38684160.

The previous prime is 146089799. The next prime is 146089807. The reversal of 146089800 is 8980641.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 66487716 + 79602084 = 8154^2 + 8922^2 .

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

It is not an unprimeable number, because it can be changed into a prime (146089807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 498454 + ... + 498746.

Almost surely, 2^146089800 is an apocalyptic number.

146089800 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 146089800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247034970).

146089800 is an abundant number, since it is smaller than the sum of its proper divisors (347980140).

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

146089800 is a wasteful number, since it uses less digits than its factorization.

146089800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 146089800 is about 12086.7613528190. The cubic root of 146089800 is about 526.6716782802.

The spelling of 146089800 in words is "one hundred forty-six million, eighty-nine thousand, eight hundred".