138096420 has 192 divisors, whose sum is σ = 490033152. Its totient is φ = 28224000.

The previous prime is 138096407. The next prime is 138096421. The reversal of 138096420 is 24690831.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (138096421) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 327810 + ... + 328230.

It is an arithmetic number, because the mean of its divisors is an integer number (2552256).

Almost surely, 2^138096420 is an apocalyptic number.

138096420 is a gapful number since it is divisible by the number (10) 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 138096420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245016576).

138096420 is an abundant number, since it is smaller than the sum of its proper divisors (351936732).

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

138096420 is a wasteful number, since it uses less digits than its factorization.

138096420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 138096420 is about 11751.4433156102. The cubic root of 138096420 is about 516.8852510192.

The spelling of 138096420 in words is "one hundred thirty-eight million, ninety-six thousand, four hundred twenty".