145330416 has 320 divisors, whose sum is σ = 552821760. Its totient is φ = 35389440.

The previous prime is 145330391. The next prime is 145330417. The reversal of 145330416 is 614033541.

It is a super-2 number, since 2×145330416² = 42241859629466112, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 145330416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145330417) 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, 565360 + ... + 565616.

It is an arithmetic number, because the mean of its divisors is an integer number (1727568).

Almost surely, 2^145330416 is an apocalyptic number.

145330416 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 145330416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276410880).

145330416 is an abundant number, since it is smaller than the sum of its proper divisors (407491344).

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

145330416 is a wasteful number, since it uses less digits than its factorization.

145330416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 145330416 is about 12055.3065493997. The cubic root of 145330416 is about 525.7575349805.

Adding to 145330416 its reverse (614033541), we get a palindrome (759363957).

The spelling of 145330416 in words is "one hundred forty-five million, three hundred thirty thousand, four hundred sixteen".