146506752 has 176 divisors, whose sum is σ = 496520320. Its totient is φ = 41803776.

The previous prime is 146506751. The next prime is 146506769. The reversal of 146506752 is 257605641.

It is a happy number.

146506752 is a `hidden beast` number, since 146 + 506 + 7 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (146506751) 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, 193158 + ... + 193914.

Almost surely, 2^146506752 is an apocalyptic number.

146506752 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 146506752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248260160).

146506752 is an abundant number, since it is smaller than the sum of its proper divisors (350013568).

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

146506752 is an equidigital number, since it uses as much as digits as its factorization.

146506752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 146506752 is about 12103.9973562456. The cubic root of 146506752 is about 527.1722567477.

The spelling of 146506752 in words is "one hundred forty-six million, five hundred six thousand, seven hundred fifty-two".