139536 has 80 divisors (see below), whose sum is σ = 446400. Its totient is φ = 41472.

The previous prime is 139511. The next prime is 139537. The reversal of 139536 is 635931.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 139536.

It is not an unprimeable number, because it can be changed into a prime (139537) by changing a digit.

139536 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 15 ways as a sum of consecutive naturals, for example, 7335 + ... + 7353.

It is an arithmetic number, because the mean of its divisors is an integer number (5580).

2¹³⁹⁵³⁶ is an apocalyptic number.

139536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

139536 is the 216-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200).

139536 is an abundant number, since it is smaller than the sum of its proper divisors (306864).

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

139536 is a wasteful number, since it uses less digits than its factorization.

139536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 139536 is about 373.5451779906. The cubic root of 139536 is about 51.8675128305.

It can be divided in two parts, 1395 and 36, that added together give a triangular number (1431 = T₅₃).

The spelling of 139536 in words is "one hundred thirty-nine thousand, five hundred thirty-six".