140613120 has 240 divisors, whose sum is σ = 517065120. Its totient is φ = 35192832.

The previous prime is 140613119. The next prime is 140613131. The reversal of 140613120 is 21316041.

It is a happy number.

140613120 is a `hidden beast` number, since 1 + 40 + 613 + 12 + 0 = 666.

140613120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×140613120² = 39544099032268800, which contains 22 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 = 140613093 and 140613102.

It is a congruent number.

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, 391501 + ... + 391859.

It is an arithmetic number, because the mean of its divisors is an integer number (2154438).

Almost surely, 2^140613120 is an apocalyptic number.

140613120 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 140613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258532560).

140613120 is an abundant number, since it is smaller than the sum of its proper divisors (376452000).

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

140613120 is a wasteful number, since it uses less digits than its factorization.

140613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 140613120 is about 11858.0403102705. The cubic root of 140613120 is about 520.0063115605.

Adding to 140613120 its reverse (21316041), we get a palindrome (161929161).

The spelling of 140613120 in words is "one hundred forty million, six hundred thirteen thousand, one hundred twenty".