145033872 has 80 divisors (see below), whose sum is σ = 400212480. Its totient is φ = 45158400.

The previous prime is 145033831. The next prime is 145033907. The reversal of 145033872 is 278330541.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41472 + ... + 44832.

It is an arithmetic number, because the mean of its divisors is an integer number (5002656).

Almost surely, 2^145033872 is an apocalyptic number.

145033872 is a gapful number since it is divisible by the number (12) 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 145033872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200106240).

145033872 is an abundant number, since it is smaller than the sum of its proper divisors (255178608).

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

145033872 is a wasteful number, since it uses less digits than its factorization.

145033872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 145033872 is about 12043.0009549115. Note that the first 3 decimals coincide. The cubic root of 145033872 is about 525.3996920019.

The spelling of 145033872 in words is "one hundred forty-five million, thirty-three thousand, eight hundred seventy-two".