138763224 has 48 divisors (see below), whose sum is σ = 377086320. Its totient is φ = 46098240.

The previous prime is 138763201. The next prime is 138763249. The reversal of 138763224 is 422367831.

It is a happy number.

138763224 is a `hidden beast` number, since 13 + 8 + 7 + 632 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19294 + ... + 25490.

It is an arithmetic number, because the mean of its divisors is an integer number (7855965).

Almost surely, 2^138763224 is an apocalyptic number.

It is an amenable number.

138763224 is an abundant number, since it is smaller than the sum of its proper divisors (238323096).

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

138763224 is a wasteful number, since it uses less digits than its factorization.

138763224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6520 (or 6513 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 138763224 is about 11779.7803035541. The cubic root of 138763224 is about 517.7158491853.

The spelling of 138763224 in words is "one hundred thirty-eight million, seven hundred sixty-three thousand, two hundred twenty-four".