138802824 has 96 divisors (see below), whose sum is σ = 401207040. Its totient is φ = 43200000.

The previous prime is 138802823. The next prime is 138802831. The reversal of 138802824 is 428208831.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138802823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184449 + ... + 185199.

It is an arithmetic number, because the mean of its divisors is an integer number (4179240).

Almost surely, 2^138802824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138802824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200603520).

138802824 is an abundant number, since it is smaller than the sum of its proper divisors (262404216).

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

138802824 is a wasteful number, since it uses less digits than its factorization.

138802824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 138802824 is about 11781.4610299402. The cubic root of 138802824 is about 517.7650927747.

The spelling of 138802824 in words is "one hundred thirty-eight million, eight hundred two thousand, eight hundred twenty-four".