136839341053440 has 2560 divisors, whose sum is σ = 543920686848000. Its totient is φ = 32469160034304.

The previous prime is 136839341053427. The next prime is 136839341053507. The reversal of 136839341053440 is 44350143938631.

136839341053440 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 3 + 93 + 4 + 10 + 534 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 230757741784 + ... + 230757742376.

It is an arithmetic number, because the mean of its divisors is an integer number (212469018300).

Almost surely, 2^{136839341053440} is an apocalyptic number.

136839341053440 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 136839341053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271960343424000).

136839341053440 is an abundant number, since it is smaller than the sum of its proper divisors (407081345794560).

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

136839341053440 is a wasteful number, since it uses less digits than its factorization.

136839341053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 136839341053440 in words is "one hundred thirty-six trillion, eight hundred thirty-nine billion, three hundred forty-one million, fifty-three thousand, four hundred forty".