146945021440 has 160 divisors (see below), whose sum is σ = 412021843200. Its totient is φ = 49209237504.

The previous prime is 146945021417. The next prime is 146945021441. The reversal of 146945021440 is 44120549641.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 146945021393 and 146945021402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146945021441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675211 + ... + 865909.

It is an arithmetic number, because the mean of its divisors is an integer number (2575136520).

Almost surely, 2^146945021440 is an apocalyptic number.

146945021440 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 146945021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206010921600).

146945021440 is an abundant number, since it is smaller than the sum of its proper divisors (265076821760).

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

146945021440 is an equidigital number, since it uses as much as digits as its factorization.

146945021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190772 (or 190756 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 146945021440 in words is "one hundred forty-six billion, nine hundred forty-five million, twenty-one thousand, four hundred forty".