145686159360 has 1568 divisors, whose sum is σ = 649795390272. Its totient is φ = 30576476160.

The previous prime is 145686159341. The next prime is 145686159361. The reversal of 145686159360 is 63951686541.

145686159360 is a `hidden beast` number, since 1 + 4 + 56 + 86 + 159 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 145686159297 and 145686159306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145686159361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3553320940 + ... + 3553320980.

Almost surely, 2^145686159360 is an apocalyptic number.

145686159360 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 145686159360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324897695136).

145686159360 is an abundant number, since it is smaller than the sum of its proper divisors (504109230912).

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

145686159360 is an frugal number, since it uses more digits than its factorization.

145686159360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 145686159360 in words is "one hundred forty-five billion, six hundred eighty-six million, one hundred fifty-nine thousand, three hundred sixty".