146900528960 has 56 divisors (see below), whose sum is σ = 365015897856. Its totient is φ = 56205416960.

The previous prime is 146900528939. The next prime is 146900528989. The reversal of 146900528960 is 69825009641.

146900528960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 146900528899 and 146900528908.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9972296 + ... + 9987015.

Almost surely, 2^146900528960 is an apocalyptic number.

146900528960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146900528960 is an abundant number, since it is smaller than the sum of its proper divisors (218115368896).

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

146900528960 is a wasteful number, since it uses less digits than its factorization.

146900528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19959351 (or 19959341 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The spelling of 146900528960 in words is "one hundred forty-six billion, nine hundred million, five hundred twenty-eight thousand, nine hundred sixty".