145556101000 has 64 divisors (see below), whose sum is σ = 340756444080. Its totient is φ = 58195916800.

The previous prime is 145556100997. The next prime is 145556101021. The reversal of 145556101000 is 101655541.

It is a happy number.

145556101000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 956912356 + 144599188644 = 30934^2 + 380262^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 145556101000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2240982 + ... + 2305018.

Almost surely, 2^145556101000 is an apocalyptic number.

145556101000 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 145556101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170378222040).

145556101000 is an abundant number, since it is smaller than the sum of its proper divisors (195200343080).

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

145556101000 is a wasteful number, since it uses less digits than its factorization.

145556101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66331 (or 66317 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

Adding to 145556101000 its reverse (101655541), we get a palindrome (145657756541).

The spelling of 145556101000 in words is "one hundred forty-five billion, five hundred fifty-six million, one hundred one thousand".