136285406880 has 384 divisors, whose sum is σ = 523606228992. Its totient is φ = 29086138368.

The previous prime is 136285406861. The next prime is 136285406899. The reversal of 136285406880 is 88604582631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136285406861) and next prime (136285406899).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 7244847 + ... + 7263633.

It is an arithmetic number, because the mean of its divisors is an integer number (1363557888).

Almost surely, 2^136285406880 is an apocalyptic number.

136285406880 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 136285406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261803114496).

136285406880 is an abundant number, since it is smaller than the sum of its proper divisors (387320822112).

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

136285406880 is a wasteful number, since it uses less digits than its factorization.

136285406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18956 (or 18948 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 136285406880 in words is "one hundred thirty-six billion, two hundred eighty-five million, four hundred six thousand, eight hundred eighty".