138479210150400 has 8640 divisors, whose sum is σ = 696407433321600. Its totient is φ = 26968451973120.

The previous prime is 138479210150387. The next prime is 138479210150401. The reversal of 138479210150400 is 4051012974831.

138479210150400 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 7 + 92 + 1 + 0 + 150 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

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

It is not an unprimeable number, because it can be changed into a prime (138479210150401) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1427620723152 + ... + 1427620723248.

It is an arithmetic number, because the mean of its divisors is an integer number (80602712190).

Almost surely, 2^{138479210150400} is an apocalyptic number.

138479210150400 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 138479210150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348203716660800).

138479210150400 is an abundant number, since it is smaller than the sum of its proper divisors (557928223171200).

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

138479210150400 is a wasteful number, since it uses less digits than its factorization.

138479210150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 138479210150400 in words is "one hundred thirty-eight trillion, four hundred seventy-nine billion, two hundred ten million, one hundred fifty thousand, four hundred".