136420353402240 has 256 divisors, whose sum is σ = 461426223913920. Its totient is φ = 34163909197824.

The previous prime is 136420353402233. The next prime is 136420353402247. The reversal of 136420353402240 is 42204353024631.

It is an interprime number because it is at equal distance from previous prime (136420353402233) and next prime (136420353402247).

It is a super-2 number, since 2×136420353402240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136420353402247) 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, 10343674 + ... + 19489286.

Almost surely, 2^{136420353402240} is an apocalyptic number.

136420353402240 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 136420353402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230713111956960).

136420353402240 is an abundant number, since it is smaller than the sum of its proper divisors (325005870511680).

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

136420353402240 is a wasteful number, since it uses less digits than its factorization.

136420353402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9146109 (or 9146097 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

The spelling of 136420353402240 in words is "one hundred thirty-six trillion, four hundred twenty billion, three hundred fifty-three million, four hundred two thousand, two hundred forty".