145660680 has 320 divisors, whose sum is σ = 550946880. Its totient is φ = 34214400.

The previous prime is 145660673. The next prime is 145660687. The reversal of 145660680 is 86066541.

145660680 is a `hidden beast` number, since 1 + 45 + 6 + 606 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145660673) and next prime (145660687).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (145660687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2174007 + ... + 2174073.

It is an arithmetic number, because the mean of its divisors is an integer number (1721709).

Almost surely, 2^145660680 is an apocalyptic number.

145660680 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 145660680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275473440).

145660680 is an abundant number, since it is smaller than the sum of its proper divisors (405286200).

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

145660680 is a wasteful number, since it uses less digits than its factorization.

145660680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

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

The square root of 145660680 is about 12068.9966442948. The cubic root of 145660680 is about 526.1554957687.

The spelling of 145660680 in words is "one hundred forty-five million, six hundred sixty thousand, six hundred eighty".