146138659680 has 192 divisors, whose sum is σ = 497809464768. Its totient is φ = 35822960640.

The previous prime is 146138659679. The next prime is 146138659697. The reversal of 146138659680 is 86956831641.

It is a self number, because there is not a number n which added to its sum of digits gives 146138659680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1455252 + ... + 1552428.

It is an arithmetic number, because the mean of its divisors is an integer number (2592757629).

Almost surely, 2^146138659680 is an apocalyptic number.

146138659680 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 146138659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248904732384).

146138659680 is an abundant number, since it is smaller than the sum of its proper divisors (351670805088).

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

146138659680 is a wasteful number, since it uses less digits than its factorization.

146138659680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97449 (or 97441 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 146138659680 in words is "one hundred forty-six billion, one hundred thirty-eight million, six hundred fifty-nine thousand, six hundred eighty".