145852416 has 144 divisors (see below), whose sum is σ = 433758780. Its totient is φ = 47185920.

The previous prime is 145852391. The next prime is 145852433. The reversal of 145852416 is 614258541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 121881600 + 23970816 = 11040^2 + 4896^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755616 + ... + 755808.

Almost surely, 2^145852416 is an apocalyptic number.

145852416 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 145852416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216879390).

145852416 is an abundant number, since it is smaller than the sum of its proper divisors (287906364).

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

145852416 is a wasteful number, since it uses less digits than its factorization.

145852416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 145852416 is about 12076.9373601091. The cubic root of 145852416 is about 526.3862574671.

The spelling of 145852416 in words is "one hundred forty-five million, eight hundred fifty-two thousand, four hundred sixteen".