145536 has 32 divisors (see below), whose sum is σ = 387600. Its totient is φ = 48384.

The previous prime is 145531. The next prime is 145543. The reversal of 145536 is 635541.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (145531) by changing a digit.

145536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 195 + ... + 573.

2¹⁴⁵⁵³⁶ is an apocalyptic number.

145536 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 145536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193800).

145536 is an abundant number, since it is smaller than the sum of its proper divisors (242064).

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

145536 is an equidigital number, since it uses as much as digits as its factorization.

145536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its digits is 1800, while the sum is 24.

The square root of 145536 is about 381.4918085621. The cubic root of 145536 is about 52.6005329887.

The spelling of 145536 in words is "one hundred forty-five thousand, five hundred thirty-six".