136424509521408 has 960 divisors, whose sum is σ = 442149865597440. Its totient is φ = 41847753572352.

The previous prime is 136424509521397. The next prime is 136424509521409. The reversal of 136424509521408 is 804125905424631.

136424509521408 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 24 + 50 + 9 + 521 + 40 + 8 = 666.

It is a super-2 number, since 2×136424509521408² (a number of 29 digits) contains 22 as substring.

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 (136424509521409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84578120410 + ... + 84578122022.

It is an arithmetic number, because the mean of its divisors is an integer number (460572776664).

Almost surely, 2^{136424509521408} is an apocalyptic number.

136424509521408 is a gapful number since it is divisible by the number (18) 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 136424509521408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221074932798720).

136424509521408 is an abundant number, since it is smaller than the sum of its proper divisors (305725356076032).

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

136424509521408 is an equidigital number, since it uses as much as digits as its factorization.

136424509521408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 136424509521408 in words is "one hundred thirty-six trillion, four hundred twenty-four billion, five hundred nine million, five hundred twenty-one thousand, four hundred eight".