145358752 has 144 divisors (see below), whose sum is σ = 373234176. Its totient is φ = 54489600.

The previous prime is 145358743. The next prime is 145358753. The reversal of 145358752 is 257853541.

It is a super-2 number, since 2×145358752² = 42258333565995008, which contains 22 as substring.

Its product of digits (168000) is a multiple of the sum of its prime divisors (224).

It is not an unprimeable number, because it can be changed into a prime (145358753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 840138 + ... + 840310.

It is an arithmetic number, because the mean of its divisors is an integer number (2591904).

Almost surely, 2^145358752 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 145358752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186617088).

145358752 is an abundant number, since it is smaller than the sum of its proper divisors (227875424).

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

145358752 is a wasteful number, since it uses less digits than its factorization.

145358752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its digits is 168000, while the sum is 40.

The square root of 145358752 is about 12056.4817421999. The cubic root of 145358752 is about 525.7917028621.

The spelling of 145358752 in words is "one hundred forty-five million, three hundred fifty-eight thousand, seven hundred fifty-two".