136714527857040 has 640 divisors, whose sum is σ = 528899748249600. Its totient is φ = 28516671406080.

The previous prime is 136714527857027. The next prime is 136714527857111. The reversal of 136714527857040 is 40758725417631.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102727714 + ... + 104050046.

It is an arithmetic number, because the mean of its divisors is an integer number (826405856640).

Almost surely, 2^{136714527857040} is an apocalyptic number.

136714527857040 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 136714527857040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264449874124800).

136714527857040 is an abundant number, since it is smaller than the sum of its proper divisors (392185220392560).

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

136714527857040 is a wasteful number, since it uses less digits than its factorization.

136714527857040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322495 (or 1322489 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 60.

The spelling of 136714527857040 in words is "one hundred thirty-six trillion, seven hundred fourteen billion, five hundred twenty-seven million, eight hundred fifty-seven thousand, forty".