145686420 has 108 divisors (see below), whose sum is σ = 485814420. Its totient is φ = 35312640.

The previous prime is 145686403. The next prime is 145686421. The reversal of 145686420 is 24686541.

145686420 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 8 + 642 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89075844 + 56610576 = 9438^2 + 7524^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145686421) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 18436 + ... + 25124.

Almost surely, 2^145686420 is an apocalyptic number.

145686420 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 145686420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242907210).

145686420 is an abundant number, since it is smaller than the sum of its proper divisors (340128000).

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

145686420 is a wasteful number, since it uses less digits than its factorization.

145686420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6726 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 145686420 is about 12070.0629658672. The cubic root of 145686420 is about 526.1864866185.

The spelling of 145686420 in words is "one hundred forty-five million, six hundred eighty-six thousand, four hundred twenty".