146941440 has 240 divisors, whose sum is σ = 505132848. Its totient is φ = 36421632.

The previous prime is 146941439. The next prime is 146941441. The reversal of 146941440 is 44149641.

It is an interprime number because it is at equal distance from previous prime (146941439) and next prime (146941441).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146941441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2772454 + ... + 2772506.

Almost surely, 2^146941440 is an apocalyptic number.

146941440 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 146941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252566424).

146941440 is an abundant number, since it is smaller than the sum of its proper divisors (358191408).

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

146941440 is an equidigital number, since it uses as much as digits as its factorization.

146941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 146941440 is about 12121.9404387251. The cubic root of 146941440 is about 527.6931182726.

The spelling of 146941440 in words is "one hundred forty-six million, nine hundred forty-one thousand, four hundred forty".