145842100 has 72 divisors (see below), whose sum is σ = 339040800. Its totient is φ = 54288000.

The previous prime is 145842089. The next prime is 145842107. The reversal of 145842100 is 1248541.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145842107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111450 + ... + 112750.

It is an arithmetic number, because the mean of its divisors is an integer number (4708900).

Almost surely, 2^145842100 is an apocalyptic number.

145842100 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 145842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169520400).

145842100 is an abundant number, since it is smaller than the sum of its proper divisors (193198700).

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

145842100 is a wasteful number, since it uses less digits than its factorization.

145842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 145842100 is about 12076.5102575206. The cubic root of 145842100 is about 526.3738469113.

The spelling of 145842100 in words is "one hundred forty-five million, eight hundred forty-two thousand, one hundred".