146001440 has 96 divisors (see below), whose sum is σ = 393407280. Its totient is φ = 50724864.

The previous prime is 146001439. The next prime is 146001461. The reversal of 146001440 is 44100641.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 59660176 + 86341264 = 7724^2 + 9292^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33296 + ... + 37424.

Almost surely, 2^146001440 is an apocalyptic number.

146001440 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 146001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196703640).

146001440 is an abundant number, since it is smaller than the sum of its proper divisors (247405840).

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

146001440 is a wasteful number, since it uses less digits than its factorization.

146001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 146001440 is about 12083.1055610716. The cubic root of 146001440 is about 526.5654739799.

The spelling of 146001440 in words is "one hundred forty-six million, one thousand, four hundred forty".