138766362400 has 144 divisors (see below), whose sum is σ = 364572993960. Its totient is φ = 51384729600.

The previous prime is 138766362377. The next prime is 138766362403. The reversal of 138766362400 is 4263667831.

It can be written as a sum of positive squares in 12 ways, for example, as 2897453584 + 135868908816 = 53828^2 + 368604^2 .

It is a super-2 number, since 2×138766362400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138766362403) 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, 745966 + ... + 913234.

Almost surely, 2^138766362400 is an apocalyptic number.

138766362400 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 138766362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182286496980).

138766362400 is an abundant number, since it is smaller than the sum of its proper divisors (225806631560).

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

138766362400 is a wasteful number, since it uses less digits than its factorization.

138766362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167367 (or 167354 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 138766362400 in words is "one hundred thirty-eight billion, seven hundred sixty-six million, three hundred sixty-two thousand, four hundred".