145976100 has 72 divisors (see below), whose sum is σ = 433805568. Its totient is φ = 37872000.

The previous prime is 145976087. The next prime is 145976177. The reversal of 145976100 is 1679541.

It is a congruent number.

It is an unprimeable number.

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, 4525 + ... + 17675.

Almost surely, 2^145976100 is an apocalyptic number.

145976100 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 145976100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216902784).

145976100 is an abundant number, since it is smaller than the sum of its proper divisors (287829468).

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

145976100 is a wasteful number, since it uses less digits than its factorization.

145976100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13205 (or 13198 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 145976100 is about 12082.0569440803. The cubic root of 145976100 is about 526.5350086614.

The spelling of 145976100 in words is "one hundred forty-five million, nine hundred seventy-six thousand, one hundred".