136850964480 has 380 divisors, whose sum is σ = 491015746980. Its totient is φ = 36465278976.

The previous prime is 136850964473. The next prime is 136850964487. The reversal of 136850964480 is 84469058631.

136850964480 is a `hidden beast` number, since 1 + 3 + 68 + 50 + 96 + 448 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136850964473) and next prime (136850964487).

It can be written as a sum of positive squares in 2 ways, for example, as 81622204416 + 55228760064 = 285696^2 + 235008^2 .

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 (136850964487) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106167676 + ... + 106168964.

Almost surely, 2^136850964480 is an apocalyptic number.

136850964480 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 136850964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245507873490).

136850964480 is an abundant number, since it is smaller than the sum of its proper divisors (354164782500).

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

136850964480 is an frugal number, since it uses more digits than its factorization.

136850964480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 136850964480 in words is "one hundred thirty-six billion, eight hundred fifty million, nine hundred sixty-four thousand, four hundred eighty".