145045536 has 96 divisors (see below), whose sum is σ = 399567168. Its totient is φ = 46018560.

The previous prime is 145045531. The next prime is 145045543. The reversal of 145045536 is 635540541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 145045497 and 145045506.

It is not an unprimeable number, because it can be changed into a prime (145045531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168820 + ... + 169676.

It is an arithmetic number, because the mean of its divisors is an integer number (4162158).

Almost surely, 2^145045536 is an apocalyptic number.

145045536 is a gapful number since it is divisible by the number (16) 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 145045536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199783584).

145045536 is an abundant number, since it is smaller than the sum of its proper divisors (254521632).

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

145045536 is a wasteful number, since it uses less digits than its factorization.

145045536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 145045536 is about 12043.4852098552. The cubic root of 145045536 is about 525.4137762928.

The spelling of 145045536 in words is "one hundred forty-five million, forty-five thousand, five hundred thirty-six".