145689504 has 96 divisors (see below), whose sum is σ = 405155520. Its totient is φ = 45760512.

The previous prime is 145689493. The next prime is 145689539. The reversal of 145689504 is 405986541.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119104 + ... + 120320.

It is an arithmetic number, because the mean of its divisors is an integer number (4220370).

Almost surely, 2^145689504 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 145689504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202577760).

145689504 is an abundant number, since it is smaller than the sum of its proper divisors (259466016).

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

145689504 is a wasteful number, since it uses less digits than its factorization.

145689504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 145689504 is about 12070.1907192886. The cubic root of 145689504 is about 526.1901994964.

The spelling of 145689504 in words is "one hundred forty-five million, six hundred eighty-nine thousand, five hundred four".