146014440 has 256 divisors, whose sum is σ = 526417920. Its totient is φ = 31933440.

The previous prime is 146014409. The next prime is 146014441. The reversal of 146014440 is 44410641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 146014440.

It is not an unprimeable number, because it can be changed into a prime (146014441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1149657 + ... + 1149783.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 2^146014440 is an apocalyptic number.

146014440 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 146014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263208960).

146014440 is an abundant number, since it is smaller than the sum of its proper divisors (380403480).

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

146014440 is a wasteful number, since it uses less digits than its factorization.

146014440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 146014440 is about 12083.6434902723. The cubic root of 146014440 is about 526.5811020176.

The spelling of 146014440 in words is "one hundred forty-six million, fourteen thousand, four hundred forty".