136763213664 has 192 divisors, whose sum is σ = 459686610432. Its totient is φ = 34562764800.

The previous prime is 136763213659. The next prime is 136763213669. The reversal of 136763213664 is 466312367631.

It is an interprime number because it is at equal distance from previous prime (136763213659) and next prime (136763213669).

It is a super-2 number, since 2×136763213664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136763213669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23484 + ... + 523524.

It is an arithmetic number, because the mean of its divisors is an integer number (2394201096).

Almost surely, 2^136763213664 is an apocalyptic number.

136763213664 is a gapful number since it is divisible by the number (14) 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 136763213664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229843305216).

136763213664 is an abundant number, since it is smaller than the sum of its proper divisors (322923396768).

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

136763213664 is a wasteful number, since it uses less digits than its factorization.

136763213664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500109 (or 500101 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 48.

The spelling of 136763213664 in words is "one hundred thirty-six billion, seven hundred sixty-three million, two hundred thirteen thousand, six hundred sixty-four".