138155186400 has 1728 divisors, whose sum is σ = 615085632000. Its totient is φ = 26824089600.

The previous prime is 138155186387. The next prime is 138155186461. The reversal of 138155186400 is 4681551831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1892536764 + ... + 1892536836.

Almost surely, 2^138155186400 is an apocalyptic number.

138155186400 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 138155186400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307542816000).

138155186400 is an abundant number, since it is smaller than the sum of its proper divisors (476930445600).

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

138155186400 is a wasteful number, since it uses less digits than its factorization.

138155186400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The spelling of 138155186400 in words is "one hundred thirty-eight billion, one hundred fifty-five million, one hundred eighty-six thousand, four hundred".