146789000 has 64 divisors (see below), whose sum is σ = 345524400. Its totient is φ = 58368000.

The previous prime is 146788973. The next prime is 146789011. The reversal of 146789000 is 987641.

146789000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 57183844 + 89605156 = 7562^2 + 9466^2 .

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, 228680 + ... + 229320.

Almost surely, 2^146789000 is an apocalyptic number.

146789000 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 146789000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172762200).

146789000 is an abundant number, since it is smaller than the sum of its proper divisors (198735400).

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

146789000 is a wasteful number, since it uses less digits than its factorization.

146789000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 146789000 is about 12115.6510349217. The cubic root of 146789000 is about 527.5105753216.

The spelling of 146789000 in words is "one hundred forty-six million, seven hundred eighty-nine thousand".