145217376 has 72 divisors (see below), whose sum is σ = 414250200. Its totient is φ = 48254976.

The previous prime is 145217363. The next prime is 145217389. The reversal of 145217376 is 673712541.

It is a happy number.

145217376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145217363) and next prime (145217389).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 145217376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128751 + ... + 129873.

It is an arithmetic number, because the mean of its divisors is an integer number (5753475).

Almost surely, 2^145217376 is an apocalyptic number.

145217376 is a gapful number since it is divisible by the number (16) 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 145217376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207125100).

145217376 is an abundant number, since it is smaller than the sum of its proper divisors (269032824).

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

145217376 is a wasteful number, since it uses less digits than its factorization.

145217376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1577 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 145217376 is about 12050.6172456020. The cubic root of 145217376 is about 525.6211858046.

The spelling of 145217376 in words is "one hundred forty-five million, two hundred seventeen thousand, three hundred seventy-six".