146513440000 has 360 divisors, whose sum is σ = 382105687040. Its totient is φ = 55987200000.

The previous prime is 146513439991. The next prime is 146513440001. The reversal of 146513440000 is 44315641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146513440001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 540639865 + ... + 540640135.

Almost surely, 2^146513440000 is an apocalyptic number.

146513440000 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 146513440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191052843520).

146513440000 is an abundant number, since it is smaller than the sum of its proper divisors (235592247040).

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

146513440000 is an equidigital number, since it uses as much as digits as its factorization.

146513440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 146513440000 its reverse (44315641), we get a palindrome (146557755641).

The spelling of 146513440000 in words is "one hundred forty-six billion, five hundred thirteen million, four hundred forty thousand".