145014267450 has 288 divisors, whose sum is σ = 407189313216. Its totient is φ = 33948794880.

The previous prime is 145014267421. The next prime is 145014267457. The reversal of 145014267450 is 54762410541.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 145014267399 and 145014267408.

It is not an unprimeable number, because it can be changed into a prime (145014267457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 265108077 + ... + 265108623.

It is an arithmetic number, because the mean of its divisors is an integer number (1413851782).

Almost surely, 2^145014267450 is an apocalyptic number.

145014267450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145014267450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203594656608).

145014267450 is an abundant number, since it is smaller than the sum of its proper divisors (262175045766).

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

145014267450 is a wasteful number, since it uses less digits than its factorization.

145014267450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

Adding to 145014267450 its reverse (54762410541), we get a palindrome (199776677991).

The spelling of 145014267450 in words is "one hundred forty-five billion, fourteen million, two hundred sixty-seven thousand, four hundred fifty".