146641440 has 96 divisors (see below), whose sum is σ = 503931456. Its totient is φ = 35548160.

The previous prime is 146641423. The next prime is 146641447. The reversal of 146641440 is 44146641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 146641398 and 146641407.

It is not an unprimeable number, because it can be changed into a prime (146641447) by changing a digit.

It is a nontrivial repunit in base 527.

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 15 ways as a sum of consecutive naturals, for example, 8607 + ... + 19166.

It is an arithmetic number, because the mean of its divisors is an integer number (5249286).

Almost surely, 2^146641440 is an apocalyptic number.

146641440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146641440 is an abundant number, since it is smaller than the sum of its proper divisors (357290016).

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

146641440 is a wasteful number, since it uses less digits than its factorization.

146641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27802 (or 27794 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 146641440 is about 12109.5598598793. The cubic root of 146641440 is about 527.3337556284. Note that the first 3 decimals are identical.

The spelling of 146641440 in words is "one hundred forty-six million, six hundred forty-one thousand, four hundred forty".