145112000 has 224 divisors, whose sum is σ = 419380416. Its totient is φ = 49152000.

The previous prime is 145111963. The next prime is 145112003. The reversal of 145112000 is 211541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145112003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1495952 + ... + 1496048.

It is an arithmetic number, because the mean of its divisors is an integer number (1872234).

Almost surely, 2^145112000 is an apocalyptic number.

145112000 is a gapful number since it is divisible by the number (10) 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 145112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

145112000 is an abundant number, since it is smaller than the sum of its proper divisors (274268416).

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

145112000 is a wasteful number, since it uses less digits than its factorization.

145112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 145112000 is about 12046.2442279741. The cubic root of 145112000 is about 525.4940172286.

Adding to 145112000 its reverse (211541), we get a palindrome (145323541).

The spelling of 145112000 in words is "one hundred forty-five million, one hundred twelve thousand".