146088900 has 144 divisors (see below), whose sum is σ = 477886080. Its totient is φ = 38275200.

The previous prime is 146088889. The next prime is 146088907. The reversal of 146088900 is 9880641.

It is a happy number.

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 (146088907) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164257 + ... + 165143.

Almost surely, 2^146088900 is an apocalyptic number.

146088900 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 146088900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238943040).

146088900 is an abundant number, since it is smaller than the sum of its proper divisors (331797180).

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

146088900 is a wasteful number, since it uses less digits than its factorization.

146088900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 958 counting only the distinct ones).

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

The square root of 146088900 is about 12086.7241219447. The cubic root of 146088900 is about 526.6705967411.

The spelling of 146088900 in words is "one hundred forty-six million, eighty-eight thousand, nine hundred".