146004930 has 160 divisors (see below), whose sum is σ = 423403200. Its totient is φ = 35987328.

The previous prime is 146004919. The next prime is 146004931. The reversal of 146004930 is 39400641.

146004930 is a `hidden beast` number, since 14 + 600 + 49 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 146004894 and 146004903.

It is not an unprimeable number, because it can be changed into a prime (146004931) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 815581 + ... + 815759.

It is an arithmetic number, because the mean of its divisors is an integer number (2646270).

Almost surely, 2^146004930 is an apocalyptic number.

146004930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146004930 is the 6042-nd decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146004930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211701600).

146004930 is an abundant number, since it is smaller than the sum of its proper divisors (277398270).

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

146004930 is a wasteful number, since it uses less digits than its factorization.

146004930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 146004930 is about 12083.2499767240. The cubic root of 146004930 is about 526.5696695980.

The spelling of 146004930 in words is "one hundred forty-six million, four thousand, nine hundred thirty".