146276352 has 120 divisors (see below), whose sum is σ = 436207200. Its totient is φ = 47185920.

The previous prime is 146276329. The next prime is 146276357. The reversal of 146276352 is 253672641.

146276352 is a `hidden beast` number, since 14 + 6 + 2 + 7 + 635 + 2 = 666.

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

Its product of digits (60480) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146276357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4718577 + ... + 4718607.

It is an arithmetic number, because the mean of its divisors is an integer number (3635060).

Almost surely, 2^146276352 is an apocalyptic number.

146276352 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 146276352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218103600).

146276352 is an abundant number, since it is smaller than the sum of its proper divisors (289930848).

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

146276352 is an frugal number, since it uses more digits than its factorization.

146276352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 146276352 is about 12094.4760944821. The cubic root of 146276352 is about 526.8957638841.

The spelling of 146276352 in words is "one hundred forty-six million, two hundred seventy-six thousand, three hundred fifty-two".