146130400000 has 216 divisors, whose sum is σ = 392662399248. Its totient is φ = 53952000000.

The previous prime is 146130399991. The next prime is 146130400033. The reversal of 146130400000 is 4031641.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10392975 + ... + 10407025.

It is an arithmetic number, because the mean of its divisors is an integer number (1817881478).

Almost surely, 2^146130400000 is an apocalyptic number.

146130400000 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 146130400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196331199624).

146130400000 is an abundant number, since it is smaller than the sum of its proper divisors (246531999248).

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

146130400000 is an frugal number, since it uses more digits than its factorization.

146130400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14105 (or 14071 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 146130400000 its reverse (4031641), we get a palindrome (146134431641).

The spelling of 146130400000 in words is "one hundred forty-six billion, one hundred thirty million, four hundred thousand".