136994715648 has 1152 divisors, whose sum is σ = 515144448000. Its totient is φ = 34186199040.

The previous prime is 136994715643. The next prime is 136994715691. The reversal of 136994715648 is 846517499631.

136994715648 is a `hidden beast` number, since 1 + 3 + 69 + 9 + 4 + 7 + 1 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×136994715648³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136994715643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2914781161 + ... + 2914781207.

It is an arithmetic number, because the mean of its divisors is an integer number (447174000).

Almost surely, 2^136994715648 is an apocalyptic number.

136994715648 is a gapful number since it is divisible by the number (18) 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 136994715648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257572224000).

136994715648 is an abundant number, since it is smaller than the sum of its proper divisors (378149732352).

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

136994715648 is a wasteful number, since it uses less digits than its factorization.

136994715648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 136994715648 in words is "one hundred thirty-six billion, nine hundred ninety-four million, seven hundred fifteen thousand, six hundred forty-eight".