140115600 has 90 divisors (see below), whose sum is σ = 486252546. Its totient is φ = 37363200.

The previous prime is 140115551. The next prime is 140115607. The reversal of 140115600 is 6511041.

140115600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2663424 + 137452176 = 1632^2 + 11724^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (140115607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15861 + ... + 23060.

Almost surely, 2^140115600 is an apocalyptic number.

140115600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140115600 is an abundant number, since it is smaller than the sum of its proper divisors (346136946).

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

140115600 is a wasteful number, since it uses less digits than its factorization.

140115600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38945 (or 38931 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 140115600 is about 11837.0435498058. The cubic root of 140115600 is about 519.3922880855.

Adding to 140115600 its reverse (6511041), we get a palindrome (146626641).

It can be divided in two parts, 140115 and 600, that added together give a triangular number (140715 = T₅₃₀).

The spelling of 140115600 in words is "one hundred forty million, one hundred fifteen thousand, six hundred".