145816512 has 56 divisors (see below), whose sum is σ = 386980176. Its totient is φ = 48457728.

The previous prime is 145816499. The next prime is 145816537. The reversal of 145816512 is 215618541.

It is a super-2 number, since 2×145816512² = 42524910343692288, which contains 22 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75268 + ... + 77180.

Almost surely, 2^145816512 is an apocalyptic number.

145816512 is a gapful number since it is divisible by the number (12) 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 145816512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193490088).

145816512 is an abundant number, since it is smaller than the sum of its proper divisors (241163664).

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

145816512 is a wasteful number, since it uses less digits than its factorization.

145816512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2315 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 145816512 is about 12075.4507990385. The cubic root of 145816512 is about 526.3430610093.

The spelling of 145816512 in words is "one hundred forty-five million, eight hundred sixteen thousand, five hundred twelve".