145626186100 has 36 divisors (see below), whose sum is σ = 317087416044. Its totient is φ = 58051655680.

The previous prime is 145626186091. The next prime is 145626186103. The reversal of 145626186100 is 1681626541.

It can be written as a sum of positive squares in 6 ways, for example, as 163277284 + 145462908816 = 12778^2 + 381396^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145626186103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2455789 + ... + 2514388.

It is an arithmetic number, because the mean of its divisors is an integer number (8807983779).

Almost surely, 2^145626186100 is an apocalyptic number.

145626186100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145626186100 is an abundant number, since it is smaller than the sum of its proper divisors (171461229944).

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

145626186100 is a wasteful number, since it uses less digits than its factorization.

145626186100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970484 (or 4970477 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 145626186100 in words is "one hundred forty-five billion, six hundred twenty-six million, one hundred eighty-six thousand, one hundred".