145471872 has 256 divisors, whose sum is σ = 499000320. Its totient is φ = 36495360.

The previous prime is 145471861. The next prime is 145471877. The reversal of 145471872 is 278174541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 145471872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145471877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 803622 + ... + 803802.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^145471872 is an apocalyptic number.

145471872 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 145471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249500160).

145471872 is an abundant number, since it is smaller than the sum of its proper divisors (353528448).

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

145471872 is a wasteful number, since it uses less digits than its factorization.

145471872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 145471872 is about 12061.1720823476. The cubic root of 145471872 is about 525.9280600578.

The spelling of 145471872 in words is "one hundred forty-five million, four hundred seventy-one thousand, eight hundred seventy-two".