138537952200 has 324 divisors, whose sum is σ = 482453801505. Its totient is φ = 35625398400.

The previous prime is 138537952199. The next prime is 138537952229. The reversal of 138537952200 is 2259735831.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

138537952200 is a `hidden beast` number, since 1 + 3 + 8 + 53 + 79 + 522 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 135767193156 + 2770759044 = 368466^2 + 52638^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=263190.

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 80 ways as a sum of consecutive naturals, for example, 489533259 + ... + 489533541.

Almost surely, 2^138537952200 is an apocalyptic number.

138537952200 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 138537952200

138537952200 is an abundant number, since it is smaller than the sum of its proper divisors (343915849305).

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

138537952200 is a wasteful number, since it uses less digits than its factorization.

138537952200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 138537952200 in words is "one hundred thirty-eight billion, five hundred thirty-seven million, nine hundred fifty-two thousand, two hundred".