145111824 has 320 divisors, whose sum is σ = 512467200. Its totient is φ = 39191040.

The previous prime is 145111823. The next prime is 145111831. The reversal of 145111824 is 428111541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145111823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5003842 + ... + 5003870.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460).

Almost surely, 2^145111824 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 145111824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256233600).

145111824 is an abundant number, since it is smaller than the sum of its proper divisors (367355376).

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

145111824 is a wasteful number, since it uses less digits than its factorization.

145111824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 145111824 is about 12046.2369227905. The cubic root of 145111824 is about 525.4938047790.

The spelling of 145111824 in words is "one hundred forty-five million, one hundred eleven thousand, eight hundred twenty-four".