145121105250 has 512 divisors, whose sum is σ = 451472486400. Its totient is φ = 34201440000.

The previous prime is 145121105249. The next prime is 145121105257. The reversal of 145121105250 is 52501121541.

It is a happy number.

145121105250 is a `hidden beast` number, since 1 + 4 + 5 + 121 + 10 + 525 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145121105257) 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 255 ways as a sum of consecutive naturals, for example, 687777645 + ... + 687777855.

It is an arithmetic number, because the mean of its divisors is an integer number (881782200).

Almost surely, 2^145121105250 is an apocalyptic number.

145121105250 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 145121105250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225736243200).

145121105250 is an abundant number, since it is smaller than the sum of its proper divisors (306351381150).

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

145121105250 is a wasteful number, since it uses less digits than its factorization.

145121105250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 145121105250 its reverse (52501121541), we get a palindrome (197622226791).

The spelling of 145121105250 in words is "one hundred forty-five billion, one hundred twenty-one million, one hundred five thousand, two hundred fifty".