145706820 has 216 divisors, whose sum is σ = 508479552. Its totient is φ = 30533760.

The previous prime is 145706807. The next prime is 145706861. The reversal of 145706820 is 28607541.

145706820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4700205 + ... + 4700235.

It is an arithmetic number, because the mean of its divisors is an integer number (2354072).

Almost surely, 2^145706820 is an apocalyptic number.

145706820 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 145706820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254239776).

145706820 is an abundant number, since it is smaller than the sum of its proper divisors (362772732).

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

145706820 is a wasteful number, since it uses less digits than its factorization.

145706820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 145706820 is about 12070.9080023004. The cubic root of 145706820 is about 526.2110455384.

The spelling of 145706820 in words is "one hundred forty-five million, seven hundred six thousand, eight hundred twenty".