138462436 has 72 divisors (see below), whose sum is σ = 295173816. Its totient is φ = 56609280.

The previous prime is 138462427. The next prime is 138462463. The reversal of 138462436 is 634264831.

It can be written as a sum of positive squares in 4 ways, for example, as 164836 + 138297600 = 406^2 + 11760^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 138462395 and 138462404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442216 + ... + 442528.

Almost surely, 2^138462436 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 138462436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147586908).

138462436 is an abundant number, since it is smaller than the sum of its proper divisors (156711380).

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

138462436 is a wasteful number, since it uses less digits than its factorization.

138462436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 420 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 138462436 is about 11767.0062462803. The cubic root of 138462436 is about 517.3415056027.

The spelling of 138462436 in words is "one hundred thirty-eight million, four hundred sixty-two thousand, four hundred thirty-six".