138296278229760 has 576 divisors, whose sum is σ = 561396911093760. Its totient is φ = 31580782018560.

The previous prime is 138296278229741. The next prime is 138296278229777. The reversal of 138296278229760 is 67922872692831.

138296278229760 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 9 + 6 + 278 + 2 + 297 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 256892070 + ... + 257429850.

Almost surely, 2^{138296278229760} is an apocalyptic number.

138296278229760 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 138296278229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280698455546880).

138296278229760 is an abundant number, since it is smaller than the sum of its proper divisors (423100632864000).

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

138296278229760 is a wasteful number, since it uses less digits than its factorization.

138296278229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538881 (or 538861 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 138296278229760 in words is "one hundred thirty-eight trillion, two hundred ninety-six billion, two hundred seventy-eight million, two hundred twenty-nine thousand, seven hundred sixty".