136423647360 has 1920 divisors, whose sum is σ = 661847155200. Its totient is φ = 26057687040.

The previous prime is 136423647343. The next prime is 136423647377. The reversal of 136423647360 is 63746324631.

136423647360 is a `hidden beast` number, since 13 + 6 + 4 + 236 + 47 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (136423647343) and next prime (136423647377).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×136423647360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 570810121 + ... + 570810359.

It is an arithmetic number, because the mean of its divisors is an integer number (344712060).

Almost surely, 2^136423647360 is an apocalyptic number.

136423647360 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 136423647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330923577600).

136423647360 is an abundant number, since it is smaller than the sum of its proper divisors (525423507840).

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

136423647360 is a wasteful number, since it uses less digits than its factorization.

136423647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 136423647360 in words is "one hundred thirty-six billion, four hundred twenty-three million, six hundred forty-seven thousand, three hundred sixty".