136680304400640 has 10368 divisors, whose sum is σ = 736768688947200. Its totient is φ = 23878316851200.

The previous prime is 136680304400639. The next prime is 136680304400669. The reversal of 136680304400640 is 46004403086631.

It is a happy number.

136680304400640 is a `hidden beast` number, since 1 + 3 + 66 + 80 + 30 + 440 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (10368).

It is a super-2 number, since 2×136680304400640² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 4409042077425 + ... + 4409042077455.

Almost surely, 2^{136680304400640} is an apocalyptic number.

136680304400640 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 136680304400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368384344473600).

136680304400640 is an abundant number, since it is smaller than the sum of its proper divisors (600088384546560).

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

136680304400640 is a wasteful number, since it uses less digits than its factorization.

136680304400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 136680304400640 in words is "one hundred thirty-six trillion, six hundred eighty billion, three hundred four million, four hundred thousand, six hundred forty".