145696851300 has 288 divisors, whose sum is σ = 565997773824. Its totient is φ = 27945792000.

The previous prime is 145696851283. The next prime is 145696851319. The reversal of 145696851300 is 3158696541.

It is a self number, because there is not a number n which added to its sum of digits gives 145696851300.

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 95 ways as a sum of consecutive naturals, for example, 57715 + ... + 542885.

It is an arithmetic number, because the mean of its divisors is an integer number (1965270048).

Almost surely, 2^145696851300 is an apocalyptic number.

145696851300 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 145696851300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282998886912).

145696851300 is an abundant number, since it is smaller than the sum of its proper divisors (420300922524).

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

145696851300 is a wasteful number, since it uses less digits than its factorization.

145696851300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485219 (or 485212 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 145696851300 in words is "one hundred forty-five billion, six hundred ninety-six million, eight hundred fifty-one thousand, three hundred".