136949170176 has 864 divisors, whose sum is σ = 514654088130. Its totient is φ = 36118462464.

The previous prime is 136949170153. The next prime is 136949170187. The reversal of 136949170176 is 671071949631.

136949170176 is a `hidden beast` number, since 1 + 369 + 49 + 1 + 70 + 176 = 666.

It can be written as a sum of positive squares in only one way, i.e., 131681894400 + 5267275776 = 362880^2 + 72576^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10534551546 + ... + 10534551558.

Almost surely, 2^136949170176 is an apocalyptic number.

136949170176 is a gapful number since it is divisible by the number (16) 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 136949170176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257327044065).

136949170176 is an abundant number, since it is smaller than the sum of its proper divisors (377704917954).

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

136949170176 is an frugal number, since it uses more digits than its factorization.

136949170176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 136949170176 in words is "one hundred thirty-six billion, nine hundred forty-nine million, one hundred seventy thousand, one hundred seventy-six".