138452478336 has 640 divisors, whose sum is σ = 449865900000. Its totient is φ = 42130243584.

The previous prime is 138452478331. The next prime is 138452478341. The reversal of 138452478336 is 633874254831.

It is a happy number.

138452478336 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 524 + 7 + 83 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (138452478331) and next prime (138452478341).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11612160) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138452478331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 929211190 + ... + 929211338.

Almost surely, 2^138452478336 is an apocalyptic number.

138452478336 is a gapful number since it is divisible by the number (16) 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 138452478336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224932950000).

138452478336 is an abundant number, since it is smaller than the sum of its proper divisors (311413421664).

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

138452478336 is a wasteful number, since it uses less digits than its factorization.

138452478336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 138452478336 in words is "one hundred thirty-eight billion, four hundred fifty-two million, four hundred seventy-eight thousand, three hundred thirty-six".