145849856 has 40 divisors (see below), whose sum is σ = 299329800. Its totient is φ = 70944768.

The previous prime is 145849849. The next prime is 145849861. The reversal of 145849856 is 658948541.

It is a super-3 number, since 3×145849856³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 15095 + ... + 22793.

It is an arithmetic number, because the mean of its divisors is an integer number (7483245).

Almost surely, 2^145849856 is an apocalyptic number.

145849856 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 145849856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149664900).

145849856 is an abundant number, since it is smaller than the sum of its proper divisors (153479944).

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

145849856 is an frugal number, since it uses more digits than its factorization.

145849856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754 (or 7738 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 50.

The square root of 145849856 is about 12076.8313725083. The cubic root of 145849856 is about 526.3831777405.

The spelling of 145849856 in words is "one hundred forty-five million, eight hundred forty-nine thousand, eight hundred fifty-six".