138783624 has 32 divisors (see below), whose sum is σ = 396525120. Its totient is φ = 39652416.

The previous prime is 138783613. The next prime is 138783637. The reversal of 138783624 is 426387831.

It is a super-3 number, since 3×138783624³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 412879 + ... + 413214.

It is an arithmetic number, because the mean of its divisors is an integer number (12391410).

Almost surely, 2^138783624 is an apocalyptic number.

138783624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138783624 is an abundant number, since it is smaller than the sum of its proper divisors (257741496).

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

138783624 is a wasteful number, since it uses less digits than its factorization.

138783624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826109 (or 826105 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 138783624 is about 11780.6461622442. The cubic root of 138783624 is about 517.7412182648.

The spelling of 138783624 in words is "one hundred thirty-eight million, seven hundred eighty-three thousand, six hundred twenty-four".