145663920 has 240 divisors, whose sum is σ = 519966720. Its totient is φ = 37884672.

The previous prime is 145663907. The next prime is 145663943. The reversal of 145663920 is 29366541.

It is a happy number.

145663920 is a `hidden beast` number, since 1 + 4 + 566 + 3 + 92 + 0 = 666.

145663920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1146897 + ... + 1147023.

It is an arithmetic number, because the mean of its divisors is an integer number (2166528).

Almost surely, 2^145663920 is an apocalyptic number.

145663920 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 145663920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

145663920 is an abundant number, since it is smaller than the sum of its proper divisors (374302800).

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

145663920 is a wasteful number, since it uses less digits than its factorization.

145663920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 145663920 is about 12069.1308717737. The cubic root of 145663920 is about 526.1593969157.

The spelling of 145663920 in words is "one hundred forty-five million, six hundred sixty-three thousand, nine hundred twenty".