146733120 has 392 divisors, whose sum is σ = 569680344. Its totient is φ = 35831808.

The previous prime is 146733113. The next prime is 146733163. The reversal of 146733120 is 21337641.

It can be written as a sum of positive squares in 4 ways, for example, as 60466176 + 86266944 = 7776^2 + 9288^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3965742 + ... + 3965778.

Almost surely, 2^146733120 is an apocalyptic number.

146733120 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 146733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284840172).

146733120 is an abundant number, since it is smaller than the sum of its proper divisors (422947224).

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

146733120 is an equidigital number, since it uses as much as digits as its factorization.

146733120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 146733120 is about 12113.3447073878. The cubic root of 146733120 is about 527.4436288151.

The spelling of 146733120 in words is "one hundred forty-six million, seven hundred thirty-three thousand, one hundred twenty".