136918267704 has 640 divisors, whose sum is σ = 439084800000. Its totient is φ = 39661332480.

The previous prime is 136918267697. The next prime is 136918267709. The reversal of 136918267704 is 407762819631.

136918267704 is a `hidden beast` number, since 1 + 369 + 18 + 267 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×136918267704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136918267709) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 688031397 + ... + 688031595.

It is an arithmetic number, because the mean of its divisors is an integer number (686070000).

Almost surely, 2^136918267704 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 136918267704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400000).

136918267704 is an abundant number, since it is smaller than the sum of its proper divisors (302166532296).

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

136918267704 is a wasteful number, since it uses less digits than its factorization.

136918267704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 136918267704 in words is "one hundred thirty-six billion, nine hundred eighteen million, two hundred sixty-seven thousand, seven hundred four".