10135645323140 has 24 divisors (see below), whose sum is σ = 21803997989592. Its totient is φ = 3955373784320.

The previous prime is 10135645323121. The next prime is 10135645323163. The reversal of 10135645323140 is 4132354653101.

It can be written as a sum of positive squares in 4 ways, for example, as 696704057344 + 9438941265796 = 834688^2 + 3072286^2 .

It is a super-2 number, since 2×10135645323140² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10135645323094 and 10135645323103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6180270719 + ... + 6180272358.

It is an arithmetic number, because the mean of its divisors is an integer number (908499916233).

Almost surely, 2^{10135645323140} is an apocalyptic number.

10135645323140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10135645323140 is an abundant number, since it is smaller than the sum of its proper divisors (11668352666452).

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

10135645323140 is a wasteful number, since it uses less digits than its factorization.

10135645323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12360543127 (or 12360543125 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 10135645323140 its reverse (4132354653101), we get a palindrome (14267999976241).

The spelling of 10135645323140 in words is "ten trillion, one hundred thirty-five billion, six hundred forty-five million, three hundred twenty-three thousand, one hundred forty".