146454960903000 has 256 divisors, whose sum is σ = 482535570816000. Its totient is φ = 36880175232000.

The previous prime is 146454960902947. The next prime is 146454960903037. The reversal of 146454960903000 is 309069454641.

146454960903000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13596156 + ... + 21857844.

It is an arithmetic number, because the mean of its divisors is an integer number (1884904573500).

Almost surely, 2^{146454960903000} is an apocalyptic number.

146454960903000 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 146454960903000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241267785408000).

146454960903000 is an abundant number, since it is smaller than the sum of its proper divisors (336080609913000).

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

146454960903000 is a wasteful number, since it uses less digits than its factorization.

146454960903000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262043 (or 8262029 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 146454960903000 in words is "one hundred forty-six trillion, four hundred fifty-four billion, nine hundred sixty million, nine hundred three thousand".