145720120 has 256 divisors, whose sum is σ = 443520000. Its totient is φ = 42674688.

The previous prime is 145720103. The next prime is 145720121. The reversal of 145720120 is 21027541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 145720091 and 145720100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145720121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3388819 + ... + 3388861.

It is an arithmetic number, because the mean of its divisors is an integer number (1732500).

Almost surely, 2^145720120 is an apocalyptic number.

145720120 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 145720120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221760000).

145720120 is an abundant number, since it is smaller than the sum of its proper divisors (297799880).

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

145720120 is a wasteful number, since it uses less digits than its factorization.

145720120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 145720120 is about 12071.4589010608. The cubic root of 145720120 is about 526.2270557567.

Adding to 145720120 its reverse (21027541), we get a palindrome (166747661).

The spelling of 145720120 in words is "one hundred forty-five million, seven hundred twenty thousand, one hundred twenty".