140292197136 has 405 divisors, whose sum is σ = 496006348149. Its totient is φ = 37000139904.

The previous prime is 140292197107. The next prime is 140292197137. The reversal of 140292197136 is 631791292041.

The square root of 140292197136 is 374556.

It is a perfect power (a square), and thus also a powerful number.

140292197136 is a `hidden beast` number, since 1 + 40 + 292 + 197 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20753283600 + 119538913536 = 144060^2 + 345744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 140292197091 and 140292197100.

It is not an unprimeable number, because it can be changed into a prime (140292197137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10791707466 + ... + 10791707478.

Almost surely, 2^140292197136 is an apocalyptic number.

140292197136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

140292197136 is the 374556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140292197136

140292197136 is an abundant number, since it is smaller than the sum of its proper divisors (355714151013).

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

140292197136 is an frugal number, since it uses more digits than its factorization.

140292197136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 140292197136 in words is "one hundred forty billion, two hundred ninety-two million, one hundred ninety-seven thousand, one hundred thirty-six".