145124280 has 288 divisors, whose sum is σ = 578869200. Its totient is φ = 31352832.

The previous prime is 145124263. The next prime is 145124333. The reversal of 145124280 is 82421541.

145124280 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 2×145124280² = 42122113291036800, 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 71 ways as a sum of consecutive naturals, for example, 334944 + ... + 335376.

Almost surely, 2^145124280 is an apocalyptic number.

145124280 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 145124280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289434600).

145124280 is an abundant number, since it is smaller than the sum of its proper divisors (433744920).

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

145124280 is a wasteful number, since it uses less digits than its factorization.

145124280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145124280 is about 12046.7539196250. The cubic root of 145124280 is about 525.5088399966.

The spelling of 145124280 in words is "one hundred forty-five million, one hundred twenty-four thousand, two hundred eighty".