145273824 has 120 divisors (see below), whose sum is σ = 437987088. Its totient is φ = 47208960.

The previous prime is 145273787. The next prime is 145273853. The reversal of 145273824 is 428372541.

It is a happy number.

It is a super-2 number, since 2×145273824² = 42208967879165952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105589 + ... + 106955.

Almost surely, 2^145273824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145273824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218993544).

145273824 is an abundant number, since it is smaller than the sum of its proper divisors (292713264).

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

145273824 is a wasteful number, since it uses less digits than its factorization.

145273824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1413 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 145273824 is about 12052.9591387344. The cubic root of 145273824 is about 525.6892823872.

The spelling of 145273824 in words is "one hundred forty-five million, two hundred seventy-three thousand, eight hundred twenty-four".