139788 has 36 divisors (see below), whose sum is σ = 386568. Its totient is φ = 42240.

The previous prime is 139787. The next prime is 139801. The reversal of 139788 is 887931.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 139788.

It is not an unprimeable number, because it can be changed into a prime (139787) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 220 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (10738).

2¹³⁹⁷⁸⁸ is an apocalyptic number.

139788 is a gapful number since it is divisible by the number (18) 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 139788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193284).

139788 is an abundant number, since it is smaller than the sum of its proper divisors (246780).

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

139788 is a wasteful number, since it uses less digits than its factorization.

139788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 139788 is about 373.8823344316. The cubic root of 139788 is about 51.8987180456.

139788 divided by its sum of digits (36) gives a palindrome (3883).

It can be divided in two parts, 1397 and 88, that added together give a triangular number (1485 = T₅₄).

The spelling of 139788 in words is "one hundred thirty-nine thousand, seven hundred eighty-eight".