145420920 has 112 divisors (see below), whose sum is σ = 490669560. Its totient is φ = 38771136.

The previous prime is 145420903. The next prime is 145420921. The reversal of 145420920 is 29024541.

145420920 is a `hidden beast` number, since 1 + 454 + 209 + 2 + 0 = 666.

145420920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145420920² = 42294487947292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145420921) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 26667 + ... + 31653.

Almost surely, 2^145420920 is an apocalyptic number.

145420920 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 145420920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245334780).

145420920 is an abundant number, since it is smaller than the sum of its proper divisors (345248640).

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

145420920 is an equidigital number, since it uses as much as digits as its factorization.

145420920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5016 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145420920 is about 12059.0596648329. The cubic root of 145420920 is about 525.8666502119.

The spelling of 145420920 in words is "one hundred forty-five million, four hundred twenty thousand, nine hundred twenty".