145311012 has 288 divisors, whose sum is σ = 503193600. Its totient is φ = 34214400.

The previous prime is 145310989. The next prime is 145311059. The reversal of 145311012 is 210113541.

It is a super-2 number, since 2×145311012² = 42230580416928288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1632664 + ... + 1632752.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^145311012 is an apocalyptic number.

145311012 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 145311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

145311012 is an abundant number, since it is smaller than the sum of its proper divisors (357882588).

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

145311012 is a wasteful number, since it uses less digits than its factorization.

145311012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 145311012 is about 12054.5017317183. The cubic root of 145311012 is about 525.7341348473.

Adding to 145311012 its reverse (210113541), we get a palindrome (355424553).

The spelling of 145311012 in words is "one hundred forty-five million, three hundred eleven thousand, twelve".