146845440 has 288 divisors, whose sum is σ = 596520960. Its totient is φ = 33509376.

The previous prime is 146845429. The next prime is 146845453. The reversal of 146845440 is 44548641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146845395 and 146845404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241617 + ... + 242223.

Almost surely, 2^146845440 is an apocalyptic number.

146845440 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 146845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298260480).

146845440 is an abundant number, since it is smaller than the sum of its proper divisors (449675520).

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

146845440 is an equidigital number, since it uses as much as digits as its factorization.

146845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 146845440 is about 12117.9800296914. The cubic root of 146845440 is about 527.5781754866.

The spelling of 146845440 in words is "one hundred forty-six million, eight hundred forty-five thousand, four hundred forty".