136497032432640 has 1056 divisors, whose sum is σ = 575058788029440. Its totient is φ = 29504530022400.

The previous prime is 136497032432627. The next prime is 136497032432647. The reversal of 136497032432640 is 46234230794631.

136497032432640 is a `hidden beast` number, since 1 + 3 + 64 + 97 + 0 + 3 + 2 + 432 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×136497032432640² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (136497032432647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163305385 + ... + 164139095.

It is an arithmetic number, because the mean of its divisors is an integer number (544563246240).

Almost surely, 2^{136497032432640} is an apocalyptic number.

136497032432640 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 136497032432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287529394014720).

136497032432640 is an abundant number, since it is smaller than the sum of its proper divisors (438561755596800).

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

136497032432640 is a wasteful number, since it uses less digits than its factorization.

136497032432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833789 (or 833768 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 136497032432640 in words is "one hundred thirty-six trillion, four hundred ninety-seven billion, thirty-two million, four hundred thirty-two thousand, six hundred forty".