146057705720 has 128 divisors (see below), whose sum is σ = 345550233600. Its totient is φ = 55496295936.

The previous prime is 146057705669. The next prime is 146057705737. The reversal of 146057705720 is 27507750641.

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, 30534449 + ... + 30539231.

It is an arithmetic number, because the mean of its divisors is an integer number (2699611200).

Almost surely, 2^146057705720 is an apocalyptic number.

146057705720 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 146057705720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172775116800).

146057705720 is an abundant number, since it is smaller than the sum of its proper divisors (199492527880).

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

146057705720 is a wasteful number, since it uses less digits than its factorization.

146057705720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5317 (or 5313 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 44.

The spelling of 146057705720 in words is "one hundred forty-six billion, fifty-seven million, seven hundred five thousand, seven hundred twenty".