145513504 has 48 divisors (see below), whose sum is σ = 302109696. Its totient is φ = 68889600.

The previous prime is 145513499. The next prime is 145513507. The reversal of 145513504 is 405315541.

It is not an unprimeable number, because it can be changed into a prime (145513507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45064 + ... + 48184.

It is an arithmetic number, because the mean of its divisors is an integer number (6293952).

Almost surely, 2^145513504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145513504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151054848).

145513504 is an abundant number, since it is smaller than the sum of its proper divisors (156596192).

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

145513504 is a wasteful number, since it uses less digits than its factorization.

145513504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3209 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 145513504 is about 12062.8978276366. The cubic root of 145513504 is about 525.9782263392.

The spelling of 145513504 in words is "one hundred forty-five million, five hundred thirteen thousand, five hundred four".