145306920 has 256 divisors, whose sum is σ = 507617280. Its totient is φ = 32947200.

The previous prime is 145306901. The next prime is 145306937. The reversal of 145306920 is 29603541.

It is a super-2 number, since 2×145306920² = 42228201999772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2168727 + ... + 2168793.

It is an arithmetic number, because the mean of its divisors is an integer number (1982880).

Almost surely, 2^145306920 is an apocalyptic number.

145306920 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 145306920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253808640).

145306920 is an abundant number, since it is smaller than the sum of its proper divisors (362310360).

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

145306920 is a wasteful number, since it uses less digits than its factorization.

145306920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 145306920 is about 12054.3320014010. The cubic root of 145306920 is about 525.7291998593.

The spelling of 145306920 in words is "one hundred forty-five million, three hundred six thousand, nine hundred twenty".