138497357053440 has 5000 divisors, whose sum is σ = 670063695265800. Its totient is φ = 27264004669440.

The previous prime is 138497357053379. The next prime is 138497357053453. The reversal of 138497357053440 is 44350753794831.

138497357053440 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 9 + 7 + 3 + 57 + 0 + 534 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 499 ways as a sum of consecutive naturals, for example, 7289334581751 + ... + 7289334581769.

Almost surely, 2^{138497357053440} is an apocalyptic number.

138497357053440 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 138497357053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335031847632900).

138497357053440 is an abundant number, since it is smaller than the sum of its proper divisors (531566338212360).

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

138497357053440 is an frugal number, since it uses more digits than its factorization.

138497357053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 138497357053440 in words is "one hundred thirty-eight trillion, four hundred ninety-seven billion, three hundred fifty-seven million, fifty-three thousand, four hundred forty".