140306688 has 144 divisors (see below), whose sum is σ = 423843840. Its totient is φ = 45766656.

The previous prime is 140306599. The next prime is 140306689. The reversal of 140306688 is 886603041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (140306689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366145 + ... + 366527.

It is an arithmetic number, because the mean of its divisors is an integer number (2943360).

Almost surely, 2^140306688 is an apocalyptic number.

140306688 is a gapful number since it is divisible by the number (18) 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 140306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211921920).

140306688 is an abundant number, since it is smaller than the sum of its proper divisors (283537152).

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

140306688 is an equidigital number, since it uses as much as digits as its factorization.

140306688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 140306688 is about 11845.1124097663. The cubic root of 140306688 is about 519.6282945192.

The spelling of 140306688 in words is "one hundred forty million, three hundred six thousand, six hundred eighty-eight".