147504 has 40 divisors (see below), whose sum is σ = 436480. Its totient is φ = 42048.

The previous prime is 147503. The next prime is 147517. The reversal of 147504 is 405741.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 147504.

It is not an unprimeable number, because it can be changed into a prime (147503) 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, 117 + ... + 555.

It is an arithmetic number, because the mean of its divisors is an integer number (10912).

2¹⁴⁷⁵⁰⁴ is an apocalyptic number.

147504 is a gapful number since it is divisible by the number (14) 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 147504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218240).

147504 is an abundant number, since it is smaller than the sum of its proper divisors (288976).

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

147504 is a wasteful number, since it uses less digits than its factorization.

147504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 147504 is about 384.0624949146. The cubic root of 147504 is about 52.8365678730.

It can be divided in two parts, 147 and 504, that multiplied together give a cube (74088 = 42³).

The spelling of 147504 in words is "one hundred forty-seven thousand, five hundred four".