138944246400 has 384 divisors, whose sum is σ = 511786142400. Its totient is φ = 36812206080.

The previous prime is 138944246383. The next prime is 138944246417. The reversal of 138944246400 is 4642449831.

138944246400 is a `hidden beast` number, since 138 + 94 + 4 + 24 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (138944246383) and next prime (138944246417).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13559679 + ... + 13569921.

Almost surely, 2^138944246400 is an apocalyptic number.

138944246400 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 138944246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255893071200).

138944246400 is an abundant number, since it is smaller than the sum of its proper divisors (372841896000).

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

138944246400 is a wasteful number, since it uses less digits than its factorization.

138944246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10433 (or 10410 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 138944246400 in words is "one hundred thirty-eight billion, nine hundred forty-four million, two hundred forty-six thousand, four hundred".