136190781546624 has 192 divisors, whose sum is σ = 447937831111680. Its totient is φ = 38907437875200.

The previous prime is 136190781546601. The next prime is 136190781546629. The reversal of 136190781546624 is 426645187091631.

136190781546624 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 9 + 0 + 7 + 81 + 546 + 6 + 2 + 4 = 666.

136190781546624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (136190781546629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73932129 + ... + 75751839.

It is an arithmetic number, because the mean of its divisors is an integer number (2333009537040).

It is a 2-persistent number, because it is pandigital, and so is 2⋅136190781546624 = 272381563093248, but 3⋅136190781546624 = 408572344639872 is not.

Almost surely, 2^{136190781546624} is an apocalyptic number.

136190781546624 is a gapful number since it is divisible by the number (14) 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 136190781546624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223968915555840).

136190781546624 is an abundant number, since it is smaller than the sum of its proper divisors (311747049565056).

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

136190781546624 is a wasteful number, since it uses less digits than its factorization.

136190781546624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829019 (or 1829004 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 136190781546624 in words is "one hundred thirty-six trillion, one hundred ninety billion, seven hundred eighty-one million, five hundred forty-six thousand, six hundred twenty-four".