146150564 has 48 divisors (see below), whose sum is σ = 310625280. Its totient is φ = 58736640.

The previous prime is 146150561. The next prime is 146150567. The reversal of 146150564 is 465051641.

146150564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146150561) and next prime (146150567).

It is a self number, because there is not a number n which added to its sum of digits gives 146150564.

It is not an unprimeable number, because it can be changed into a prime (146150561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227684 + ... + 228324.

It is an arithmetic number, because the mean of its divisors is an integer number (6471360).

Almost surely, 2^146150564 is an apocalyptic number.

146150564 is a gapful number since it is divisible by the number (14) 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 146150564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155312640).

146150564 is an abundant number, since it is smaller than the sum of its proper divisors (164474716).

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

146150564 is a wasteful number, since it uses less digits than its factorization.

146150564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 146150564 is about 12089.2747507863. The cubic root of 146150564 is about 526.7446887205.

It can be divided in two parts, 1461 and 50564, that added together give a palindrome (52025).

The spelling of 146150564 in words is "one hundred forty-six million, one hundred fifty thousand, five hundred sixty-four".