145100112 has 80 divisors (see below), whose sum is σ = 396552000. Its totient is φ = 45591552.

The previous prime is 145100101. The next prime is 145100113. The reversal of 145100112 is 211001541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 145100091 and 145100100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145100113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354564 + ... + 354972.

It is an arithmetic number, because the mean of its divisors is an integer number (4956900).

Almost surely, 2^145100112 is an apocalyptic number.

145100112 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 145100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198276000).

145100112 is an abundant number, since it is smaller than the sum of its proper divisors (251451888).

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

145100112 is a wasteful number, since it uses less digits than its factorization.

145100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 145100112 is about 12045.7507860656. The cubic root of 145100112 is about 525.4796668338.

Adding to 145100112 its reverse (211001541), we get a palindrome (356101653).

The spelling of 145100112 in words is "one hundred forty-five million, one hundred thousand, one hundred twelve".