145600686 has 192 divisors, whose sum is σ = 430133760. Its totient is φ = 35458560.

The previous prime is 145600681. The next prime is 145600687. The reversal of 145600686 is 686006541.

145600686 is a `hidden beast` number, since 1 + 45 + 600 + 6 + 8 + 6 = 666.

145600686 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×145600686³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145600686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145600681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1500990 + ... + 1501086.

It is an arithmetic number, because the mean of its divisors is an integer number (2240280).

Almost surely, 2^145600686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145600686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

145600686 is an abundant number, since it is smaller than the sum of its proper divisors (284533074).

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

145600686 is a wasteful number, since it uses less digits than its factorization.

145600686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 145600686 is about 12066.5109290134. The cubic root of 145600686 is about 526.0832490750.

The spelling of 145600686 in words is "one hundred forty-five million, six hundred thousand, six hundred eighty-six".