140315010120 has 96 divisors (see below), whose sum is σ = 467146363320. Its totient is φ = 36504714240.

The previous prime is 140315010019. The next prime is 140315010133. The reversal of 140315010120 is 21010513041.

140315010120 is a `hidden beast` number, since 1 + 40 + 3 + 1 + 501 + 0 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50304209796 + 90010800324 = 224286^2 + 300018^2 .

It is a super-3 number, since 3×140315010120³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140315010093 and 140315010102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4738459 + ... + 4767978.

Almost surely, 2^140315010120 is an apocalyptic number.

140315010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140315010120 is an abundant number, since it is smaller than the sum of its proper divisors (326831353200).

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

140315010120 is a wasteful number, since it uses less digits than its factorization.

140315010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9506495 (or 9506488 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 140315010120 its reverse (21010513041), we get a palindrome (161325523161).

The spelling of 140315010120 in words is "one hundred forty billion, three hundred fifteen million, ten thousand, one hundred twenty".