140120064 has 208 divisors, whose sum is σ = 477043840. Its totient is φ = 39813120.

The previous prime is 140120059. The next prime is 140120077. The reversal of 140120064 is 460021041.

140120064 = 97³ + 98³ + ... + 159³.

140120064 is a `hidden beast` number, since 1 + 401 + 200 + 64 = 666.

140120064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774054 + ... + 774234.

It is an arithmetic number, because the mean of its divisors is an integer number (2293480).

Almost surely, 2^140120064 is an apocalyptic number.

140120064 is a gapful number since it is divisible by the number (14) 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 140120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238521920).

140120064 is an abundant number, since it is smaller than the sum of its proper divisors (336923776).

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

140120064 is an equidigital number, since it uses as much as digits as its factorization.

140120064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 140120064 is about 11837.2321089011. The cubic root of 140120064 is about 519.3978038704.

The spelling of 140120064 in words is "one hundred forty million, one hundred twenty thousand, sixty-four".