136643760 has 320 divisors, whose sum is σ = 527109120. Its totient is φ = 32659200.

The previous prime is 136643743. The next prime is 136643777. The reversal of 136643760 is 67346631.

It is a happy number.

136643760 is a `hidden beast` number, since 1 + 3 + 6 + 643 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136643743) and next prime (136643777).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1924525 + ... + 1924595.

It is an arithmetic number, because the mean of its divisors is an integer number (1647216).

Almost surely, 2^136643760 is an apocalyptic number.

136643760 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 136643760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263554560).

136643760 is an abundant number, since it is smaller than the sum of its proper divisors (390465360).

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

136643760 is an equidigital number, since it uses as much as digits as its factorization.

136643760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 136643760 is about 11689.4721865446. The cubic root of 136643760 is about 515.0664570034.

It can be divided in two parts, 13664 and 3760, that added together give a square (17424 = 132²).

The spelling of 136643760 in words is "one hundred thirty-six million, six hundred forty-three thousand, seven hundred sixty".