138746400 has 144 divisors (see below), whose sum is σ = 486468864. Its totient is φ = 34145280.

The previous prime is 138746393. The next prime is 138746407. The reversal of 138746400 is 4647831.

It is an interprime number because it is at equal distance from previous prime (138746393) and next prime (138746407).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138746407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28977 + ... + 33423.

It is an arithmetic number, because the mean of its divisors is an integer number (3378256).

Almost surely, 2^138746400 is an apocalyptic number.

138746400 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 138746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243234432).

138746400 is an abundant number, since it is smaller than the sum of its proper divisors (347722464).

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

138746400 is a wasteful number, since it uses less digits than its factorization.

138746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4483 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 138746400 is about 11779.0661769089. The cubic root of 138746400 is about 517.6949252852.

The spelling of 138746400 in words is "one hundred thirty-eight million, seven hundred forty-six thousand, four hundred".