145535100 has 72 divisors (see below), whose sum is σ = 424274928. Its totient is φ = 38515200.

The previous prime is 145535059. The next prime is 145535101. The reversal of 145535100 is 1535541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145535101) 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, 39330 + ... + 42870.

Almost surely, 2^145535100 is an apocalyptic number.

145535100 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 145535100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212137464).

145535100 is an abundant number, since it is smaller than the sum of its proper divisors (278739828).

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

145535100 is a wasteful number, since it uses less digits than its factorization.

145535100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 145535100 is about 12063.7929358888. The cubic root of 145535100 is about 526.0042456056.

The spelling of 145535100 in words is "one hundred forty-five million, five hundred thirty-five thousand, one hundred".