147936 has 48 divisors (see below), whose sum is σ = 411264. Its totient is φ = 46464.

The previous prime is 147919. The next prime is 147937. The reversal of 147936 is 639741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147937) by changing a digit.

147936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2175 + ... + 2241.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2¹⁴⁷⁹³⁶ is an apocalyptic number.

147936 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 147936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632).

147936 is an abundant number, since it is smaller than the sum of its proper divisors (263328).

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

147936 is a wasteful number, since it uses less digits than its factorization.

147936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 95 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 147936 is about 384.6244921999. The cubic root of 147936 is about 52.8880990187. Note that the first 3 decimals are identical.

The spelling of 147936 in words is "one hundred forty-seven thousand, nine hundred thirty-six".