145242020 has 96 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 44029440.

The previous prime is 145242001. The next prime is 145242029. The reversal of 145242020 is 20242541.

It is a happy number.

It is a super-5 number, since 5×145242020⁵ (a number of 42 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 145241983 and 145242001.

It is not an unprimeable number, because it can be changed into a prime (145242029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55706 + ... + 58254.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2^145242020 is an apocalyptic number.

145242020 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 145242020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

145242020 is an abundant number, since it is smaller than the sum of its proper divisors (245458780).

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

145242020 is a wasteful number, since it uses less digits than its factorization.

145242020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 145242020 is about 12051.6397224610. The cubic root of 145242020 is about 525.6509174988.

Adding to 145242020 its reverse (20242541), we get a palindrome (165484561).

The spelling of 145242020 in words is "one hundred forty-five million, two hundred forty-two thousand, twenty".