136053428620032 has 1080 divisors, whose sum is σ = 512580214748448. Its totient is φ = 35133499146240.

The previous prime is 136053428620013. The next prime is 136053428620091. The reversal of 136053428620032 is 230026824350631.

136053428620032 is a `hidden beast` number, since 1 + 3 + 6 + 0 + 534 + 2 + 86 + 2 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×136053428620032² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136053428620032.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3038444428 + ... + 3038489204.

Almost surely, 2^{136053428620032} is an apocalyptic number.

136053428620032 is a gapful number since it is divisible by the number (12) 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 136053428620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256290107374224).

136053428620032 is an abundant number, since it is smaller than the sum of its proper divisors (376526786128416).

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

136053428620032 is a wasteful number, since it uses less digits than its factorization.

136053428620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45007 (or 44973 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 136053428620032 in words is "one hundred thirty-six trillion, fifty-three billion, four hundred twenty-eight million, six hundred twenty thousand, thirty-two".