140688000 has 192 divisors, whose sum is σ = 505762920. Its totient is φ = 37478400.

The previous prime is 140687993. The next prime is 140688001. The reversal of 140688000 is 886041.

It can be written as a sum of positive squares in 4 ways, for example, as 77580864 + 63107136 = 8808^2 + 7944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×140688000² = 39586226688000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140688001) 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, 143512 + ... + 144488.

Almost surely, 2^140688000 is an apocalyptic number.

140688000 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 140688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252881460).

140688000 is an abundant number, since it is smaller than the sum of its proper divisors (365074920).

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

140688000 is an equidigital number, since it uses as much as digits as its factorization.

140688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 140688000 is about 11861.1972414255. The cubic root of 140688000 is about 520.0986006319.

The spelling of 140688000 in words is "one hundred forty million, six hundred eighty-eight thousand".