145262020100 has 72 divisors (see below), whose sum is σ = 324531312000. Its totient is φ = 56402438400.

The previous prime is 145262020097. The next prime is 145262020109. The reversal of 145262020100 is 1020262541.

It is a happy number.

It is a super-2 number, since 2×145262020100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145262020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 726881 + ... + 904919.

Almost surely, 2^145262020100 is an apocalyptic number.

145262020100 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 145262020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162265656000).

145262020100 is an abundant number, since it is smaller than the sum of its proper divisors (179269291900).

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

145262020100 is a wasteful number, since it uses less digits than its factorization.

145262020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178293 (or 178286 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 145262020100 its reverse (1020262541), we get a palindrome (146282282641).

The spelling of 145262020100 in words is "one hundred forty-five billion, two hundred sixty-two million, twenty thousand, one hundred".