10140346306152 has 24 divisors (see below), whose sum is σ = 27463437912690. Its totient is φ = 3380115435360.

The previous prime is 10140346306147. The next prime is 10140346306159. The reversal of 10140346306152 is 25160364304101.

10140346306152 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 3 + 4 + 6 + 30 + 615 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9864034178436 + 276312127716 = 3140706^2 + 525654^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (10140346306159) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70419071499 + ... + 70419071642.

Almost surely, 2^{10140346306152} is an apocalyptic number.

10140346306152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10140346306152 is an abundant number, since it is smaller than the sum of its proper divisors (17323091606538).

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

10140346306152 is a wasteful number, since it uses less digits than its factorization.

10140346306152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140838143153 (or 140838143146 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 10140346306152 in words is "ten trillion, one hundred forty billion, three hundred forty-six million, three hundred six thousand, one hundred fifty-two".