145259520 has 264 divisors, whose sum is σ = 543257424. Its totient is φ = 33030144.

The previous prime is 145259519. The next prime is 145259531. The reversal of 145259520 is 25952541.

145259520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145259520² = 42200656301260800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 752544 + ... + 752736.

Almost surely, 2^145259520 is an apocalyptic number.

145259520 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 145259520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271628712).

145259520 is an abundant number, since it is smaller than the sum of its proper divisors (397997904).

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

145259520 is a wasteful number, since it uses less digits than its factorization.

145259520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 145259520 is about 12052.3657428739. The cubic root of 145259520 is about 525.6720282894.

The spelling of 145259520 in words is "one hundred forty-five million, two hundred fifty-nine thousand, five hundred twenty".