146688273000 has 512 divisors, whose sum is σ = 533744640000. Its totient is φ = 37196755200.

The previous prime is 146688272993. The next prime is 146688273047. The reversal of 146688273000 is 372886641.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 123578407 + ... + 123579593.

It is an arithmetic number, because the mean of its divisors is an integer number (1042470000).

Almost surely, 2^146688273000 is an apocalyptic number.

146688273000 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 146688273000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266872320000).

146688273000 is an abundant number, since it is smaller than the sum of its proper divisors (387056367000).

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

146688273000 is a wasteful number, since it uses less digits than its factorization.

146688273000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 146688273000 in words is "one hundred forty-six billion, six hundred eighty-eight million, two hundred seventy-three thousand".