145622016 has 176 divisors, whose sum is σ = 451977600. Its totient is φ = 46227456.

The previous prime is 145622003. The next prime is 145622069. The reversal of 145622016 is 610226541.

145622016 is a `hidden beast` number, since 1 + 456 + 2 + 201 + 6 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 635790 + ... + 636018.

Almost surely, 2^145622016 is an apocalyptic number.

145622016 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 145622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225988800).

145622016 is an abundant number, since it is smaller than the sum of its proper divisors (306355584).

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

145622016 is a wasteful number, since it uses less digits than its factorization.

145622016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 145622016 is about 12067.3947478319. The cubic root of 145622016 is about 526.1089376165.

Adding to 145622016 its reverse (610226541), we get a palindrome (755848557).

The spelling of 145622016 in words is "one hundred forty-five million, six hundred twenty-two thousand, sixteen".