136129009875144 has 768 divisors, whose sum is σ = 416027404800000. Its totient is φ = 36855106928640.

The previous prime is 136129009875119. The next prime is 136129009875169. The reversal of 136129009875144 is 441578900921631.

It is an interprime number because it is at equal distance from previous prime (136129009875119) and next prime (136129009875169).

It is a super-2 number, since 2×136129009875144² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79006969467 + ... + 79006971189.

It is an arithmetic number, because the mean of its divisors is an integer number (541702350000).

It is a 1-persistent number, because it is pandigital, but 2⋅136129009875144 = 272258019750288 is not.

Almost surely, 2^{136129009875144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136129009875144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208013702400000).

136129009875144 is an abundant number, since it is smaller than the sum of its proper divisors (279898394924856).

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

136129009875144 is a wasteful number, since it uses less digits than its factorization.

136129009875144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 136129009875144 in words is "one hundred thirty-six trillion, one hundred twenty-nine billion, nine million, eight hundred seventy-five thousand, one hundred forty-four".