146473185920 has 128 divisors (see below), whose sum is σ = 371059088400. Its totient is φ = 55098408960.

The previous prime is 146473185883. The next prime is 146473185959. The reversal of 146473185920 is 29581374641.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35082788416 + 111390397504 = 187304^2 + 333752^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15542810 + ... + 15552230.

It is a 1-persistent number, because it is pandigital, but 2⋅146473185920 = 292946371840 is not.

Almost surely, 2^146473185920 is an apocalyptic number.

146473185920 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 146473185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185529544200).

146473185920 is an abundant number, since it is smaller than the sum of its proper divisors (224585902480).

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

146473185920 is a wasteful number, since it uses less digits than its factorization.

146473185920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10886 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 146473185920 in words is "one hundred forty-six billion, four hundred seventy-three million, one hundred eighty-five thousand, nine hundred twenty".