145350800001 has 45 divisors (see below), whose sum is σ = 238724414929. Its totient is φ = 88068519000.

The previous prime is 145350799999. The next prime is 145350800029. The reversal of 145350800001 is 100008053541.

The square root of 145350800001 is 381249.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 145350800001 - 2¹ = 145350799999 is a prime.

It is a super-2 number, since 2×145350800001² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (145350800041) 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 44 ways as a sum of consecutive naturals, for example, 37741726 + ... + 37745576.

Almost surely, 2^145350800001 is an apocalyptic number.

145350800001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

145350800001 is the 381249-th square number.

145350800001 is the 190625-th centered octagonal number.

It is an amenable number.

145350800001 is a deficient number, since it is larger than the sum of its proper divisors (93373614928).

145350800001 is an frugal number, since it uses more digits than its factorization.

145350800001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 145350800001 its reverse (100008053541), we get a palindrome (245358853542).

The spelling of 145350800001 in words is "one hundred forty-five billion, three hundred fifty million, eight hundred thousand, one".