136490479986960 has 1200 divisors, whose sum is σ = 537435017957376. Its totient is φ = 32063074560000.

The previous prime is 136490479986947. The next prime is 136490479987003. The reversal of 136490479986960 is 69689974094631.

136490479986960 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 9 + 0 + 479 + 9 + 86 + 9 + 60 = 666.

It is a super-2 number, since 2×136490479986960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 136490479986960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3722009425 + ... + 3722046095.

Almost surely, 2^{136490479986960} is an apocalyptic number.

136490479986960 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 136490479986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268717508978688).

136490479986960 is an abundant number, since it is smaller than the sum of its proper divisors (400944537970416).

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

136490479986960 is a wasteful number, since it uses less digits than its factorization.

136490479986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36866 (or 36840 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 81.

The spelling of 136490479986960 in words is "one hundred thirty-six trillion, four hundred ninety billion, four hundred seventy-nine million, nine hundred eighty-six thousand, nine hundred sixty".