138955751424 has 512 divisors, whose sum is σ = 478059475200. Its totient is φ = 39558316032.

The previous prime is 138955751411. The next prime is 138955751449. The reversal of 138955751424 is 424157559831.

138955751424 is a `hidden beast` number, since 1 + 3 + 89 + 557 + 5 + 1 + 4 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501645174 + ... + 501645450.

Almost surely, 2^138955751424 is an apocalyptic number.

138955751424 is a gapful number since it is divisible by the number (14) 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 138955751424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239029737600).

138955751424 is an abundant number, since it is smaller than the sum of its proper divisors (339103723776).

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

138955751424 is an frugal number, since it uses more digits than its factorization.

138955751424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 289 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 138955751424 in words is "one hundred thirty-eight billion, nine hundred fifty-five million, seven hundred fifty-one thousand, four hundred twenty-four".