140013120 has 168 divisors, whose sum is σ = 481925376. Its totient is φ = 34424832.

The previous prime is 140013113. The next prime is 140013127. The reversal of 140013120 is 21310041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140013113) and next prime (140013127).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 140013096 and 140013105.

It is not an unprimeable number, because it can be changed into a prime (140013127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161809 + ... + 162671.

Almost surely, 2^140013120 is an apocalyptic number.

140013120 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 140013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240962688).

140013120 is an abundant number, since it is smaller than the sum of its proper divisors (341912256).

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

140013120 is a wasteful number, since it uses less digits than its factorization.

140013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 140013120 is about 11832.7139744016. The cubic root of 140013120 is about 519.2656300410.

Adding to 140013120 its reverse (21310041), we get a palindrome (161323161).

The spelling of 140013120 in words is "one hundred forty million, thirteen thousand, one hundred twenty".