146068977600 has 2016 divisors, whose sum is σ = 693375621120. Its totient is φ = 28293857280.

The previous prime is 146068977577. The next prime is 146068977643. The reversal of 146068977600 is 6779860641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×146068977600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1759867159 + ... + 1759867241.

It is an arithmetic number, because the mean of its divisors is an integer number (343936320).

Almost surely, 2^146068977600 is an apocalyptic number.

146068977600 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 146068977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346687810560).

146068977600 is an abundant number, since it is smaller than the sum of its proper divisors (547306643520).

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

146068977600 is a wasteful number, since it uses less digits than its factorization.

146068977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 146068977600 in words is "one hundred forty-six billion, sixty-eight million, nine hundred seventy-seven thousand, six hundred".