146752896 has 64 divisors (see below), whose sum is σ = 391129200. Its totient is φ = 48752640.

The previous prime is 146752889. The next prime is 146752897. The reversal of 146752896 is 698257641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146752897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 176610 + ... + 177438.

Almost surely, 2^146752896 is an apocalyptic number.

146752896 is a gapful number since it is divisible by the number (16) 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 146752896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195564600).

146752896 is an abundant number, since it is smaller than the sum of its proper divisors (244376304).

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

146752896 is an equidigital number, since it uses as much as digits as its factorization.

146752896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307 (or 1295 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 146752896 is about 12114.1609697081. The cubic root of 146752896 is about 527.4673232081.

It can be divided in two parts, 14675 and 2896, that added together give a palindrome (17571).

The spelling of 146752896 in words is "one hundred forty-six million, seven hundred fifty-two thousand, eight hundred ninety-six".