136034716261000 has 256 divisors, whose sum is σ = 347895160704000. Its totient is φ = 49578490368000.

The previous prime is 136034716260997. The next prime is 136034716261009. The reversal of 136034716261000 is 162617430631.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (136034716261009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124627605 + ... + 125714395.

It is an arithmetic number, because the mean of its divisors is an integer number (1358965471500).

Almost surely, 2^{136034716261000} is an apocalyptic number.

136034716261000 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 136034716261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173947580352000).

136034716261000 is an abundant number, since it is smaller than the sum of its proper divisors (211860444443000).

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

136034716261000 is a wasteful number, since it uses less digits than its factorization.

136034716261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087065 (or 1087051 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 136034716261000 in words is "one hundred thirty-six trillion, thirty-four billion, seven hundred sixteen million, two hundred sixty-one thousand".