136023189477120 has 2592 divisors, whose sum is σ = 551980169604864. Its totient is φ = 32094640005120.

The previous prime is 136023189476983. The next prime is 136023189477121. The reversal of 136023189477120 is 21774981320631.

136023189477120 is a `hidden beast` number, since 1 + 3 + 60 + 2 + 31 + 89 + 477 + 1 + 2 + 0 = 666.

136023189477120 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 (2592).

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 (136023189477121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 480647312499 + ... + 480647312781.

Almost surely, 2^{136023189477120} is an apocalyptic number.

136023189477120 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 136023189477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275990084802432).

136023189477120 is an abundant number, since it is smaller than the sum of its proper divisors (415956980127744).

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

136023189477120 is an frugal number, since it uses more digits than its factorization.

136023189477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 347 counting only the distinct ones).

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

The spelling of 136023189477120 in words is "one hundred thirty-six trillion, twenty-three billion, one hundred eighty-nine million, four hundred seventy-seven thousand, one hundred twenty".