146308572 has 48 divisors (see below), whose sum is σ = 382341120. Its totient is φ = 48380976.

The previous prime is 146308549. The next prime is 146308573. The reversal of 146308572 is 275803641.

146308572 is a `hidden beast` number, since 14 + 630 + 8 + 5 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146308573) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8383 + ... + 19049.

It is an arithmetic number, because the mean of its divisors is an integer number (7965440).

Almost surely, 2^146308572 is an apocalyptic number.

146308572 is a gapful number since it is divisible by the number (12) 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 146308572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191170560).

146308572 is an abundant number, since it is smaller than the sum of its proper divisors (236032548).

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

146308572 is a wasteful number, since it uses less digits than its factorization.

146308572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10807 (or 10799 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 146308572 is about 12095.8080341910. The cubic root of 146308572 is about 526.9344471366.

The spelling of 146308572 in words is "one hundred forty-six million, three hundred eight thousand, five hundred seventy-two".