136953216 has 96 divisors (see below), whose sum is σ = 414905400. Its totient is φ = 43241472.

The previous prime is 136953211. The next prime is 136953263. The reversal of 136953216 is 612359631.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136953211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18760 + ... + 25016.

Almost surely, 2^136953216 is an apocalyptic number.

136953216 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 136953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207452700).

136953216 is an abundant number, since it is smaller than the sum of its proper divisors (277952184).

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

136953216 is a wasteful number, since it uses less digits than its factorization.

136953216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296 (or 6281 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 136953216 is about 11702.7012266399. The cubic root of 136953216 is about 515.4549861083.

The spelling of 136953216 in words is "one hundred thirty-six million, nine hundred fifty-three thousand, two hundred sixteen".