138962534400 has 756 divisors, whose sum is σ = 540897185920. Its totient is φ = 33973862400.

The previous prime is 138962534351. The next prime is 138962534411. The reversal of 138962534400 is 4435269831.

138962534400 is a `hidden beast` number, since 13 + 8 + 9 + 62 + 534 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4482662385 + ... + 4482662415.

Almost surely, 2^138962534400 is an apocalyptic number.

138962534400 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 138962534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270448592960).

138962534400 is an abundant number, since it is smaller than the sum of its proper divisors (401934651520).

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

138962534400 is an frugal number, since it uses more digits than its factorization.

138962534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 138962534400 in words is "one hundred thirty-eight billion, nine hundred sixty-two million, five hundred thirty-four thousand, four hundred".