146753000 has 64 divisors (see below), whose sum is σ = 347040720. Its totient is φ = 58080000.

The previous prime is 146752997. The next prime is 146753011. The reversal of 146753000 is 357641.

It can be written as a sum of positive squares in 8 ways, for example, as 73582084 + 73170916 = 8578^2 + 8554^2 .

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, 100274 + ... + 101726.

Almost surely, 2^146753000 is an apocalyptic number.

146753000 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 146753000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173520360).

146753000 is an abundant number, since it is smaller than the sum of its proper divisors (200287720).

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

146753000 is a wasteful number, since it uses less digits than its factorization.

146753000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 146753000 is about 12114.1652622044. The cubic root of 146753000 is about 527.4674478089.

The spelling of 146753000 in words is "one hundred forty-six million, seven hundred fifty-three thousand".