145710879720 has 256 divisors, whose sum is σ = 521742090240. Its totient is φ = 31830340608.

The previous prime is 145710879709. The next prime is 145710879739. The reversal of 145710879720 is 27978017541.

145710879720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30272034 + ... + 30276846.

It is an arithmetic number, because the mean of its divisors is an integer number (2038055040).

Almost surely, 2^145710879720 is an apocalyptic number.

145710879720 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 145710879720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260871045120).

145710879720 is an abundant number, since it is smaller than the sum of its proper divisors (376031210520).

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

145710879720 is a wasteful number, since it uses less digits than its factorization.

145710879720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 51.

The spelling of 145710879720 in words is "one hundred forty-five billion, seven hundred ten million, eight hundred seventy-nine thousand, seven hundred twenty".