146945952 has 144 divisors (see below), whose sum is σ = 438197760. Its totient is φ = 46656000.

The previous prime is 146945893. The next prime is 146945959. The reversal of 146945952 is 259549641.

146945952 is a `hidden beast` number, since 146 + 9 + 459 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×146945952² = 43186225618372608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146945898 and 146945907.

It is not an unprimeable number, because it can be changed into a prime (146945959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 973077 + ... + 973227.

It is an arithmetic number, because the mean of its divisors is an integer number (3043040).

Almost surely, 2^146945952 is an apocalyptic number.

146945952 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 146945952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219098880).

146945952 is an abundant number, since it is smaller than the sum of its proper divisors (291251808).

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

146945952 is a wasteful number, since it uses less digits than its factorization.

146945952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 296 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 146945952 is about 12122.1265461139. The cubic root of 146945952 is about 527.6985193516.

The spelling of 146945952 in words is "one hundred forty-six million, nine hundred forty-five thousand, nine hundred fifty-two".