146810075328 has 672 divisors, whose sum is σ = 524938752000. Its totient is φ = 38276333568.

The previous prime is 146810075327. The next prime is 146810075333. The reversal of 146810075328 is 823570018641.

146810075328 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 100 + 7 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (146810075327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 641091918 + ... + 641092146.

Almost surely, 2^146810075328 is an apocalyptic number.

146810075328 is a gapful number since it is divisible by the number (18) 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 146810075328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262469376000).

146810075328 is an abundant number, since it is smaller than the sum of its proper divisors (378128676672).

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

146810075328 is a wasteful number, since it uses less digits than its factorization.

146810075328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 146810075328 in words is "one hundred forty-six billion, eight hundred ten million, seventy-five thousand, three hundred twenty-eight".