138292416 has 168 divisors, whose sum is σ = 435071520. Its totient is φ = 41803776.

The previous prime is 138292411. The next prime is 138292447. The reversal of 138292416 is 614292831.

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

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

It is not an unprimeable number, because it can be changed into a prime (138292411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 283725 + ... + 284211.

Almost surely, 2^138292416 is an apocalyptic number.

138292416 is a gapful number since it is divisible by the number (16) 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 138292416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217535760).

138292416 is an abundant number, since it is smaller than the sum of its proper divisors (296779104).

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

138292416 is a wasteful number, since it uses less digits than its factorization.

138292416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 138292416 is about 11759.7795897712. The cubic root of 138292416 is about 517.1296685353.

The spelling of 138292416 in words is "one hundred thirty-eight million, two hundred ninety-two thousand, four hundred sixteen".