138527672400 has 360 divisors, whose sum is σ = 525447584480. Its totient is φ = 33589416960.

The previous prime is 138527672377. The next prime is 138527672401. The reversal of 138527672400 is 4276725831.

138527672400 is a `hidden beast` number, since 1 + 385 + 27 + 6 + 7 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138527672401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3113511 + ... + 3157689.

Almost surely, 2^138527672400 is an apocalyptic number.

138527672400 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 138527672400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262723792240).

138527672400 is an abundant number, since it is smaller than the sum of its proper divisors (386919912080).

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

138527672400 is a wasteful number, since it uses less digits than its factorization.

138527672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44283 (or 44269 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 138527672400 in words is "one hundred thirty-eight billion, five hundred twenty-seven million, six hundred seventy-two thousand, four hundred".