140813584920100 has 243 divisors, whose sum is σ = 319741129107603. Its totient is φ = 53826398640000.

The previous prime is 140813584920053. The next prime is 140813584920263. The reversal of 140813584920100 is 1029485318041.

The square root of 140813584920100 is 11866490.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26000474072356 + 114813110847744 = 5099066^2 + 10715088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 371539801711 + ... + 371539802089.

Almost surely, 2^{140813584920100} is an apocalyptic number.

140813584920100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

140813584920100 is the 11866490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140813584920100

140813584920100 is an abundant number, since it is smaller than the sum of its proper divisors (178927544187503).

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

140813584920100 is an equidigital number, since it uses as much as digits as its factorization.

140813584920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 140813584920100 in words is "one hundred forty trillion, eight hundred thirteen billion, five hundred eighty-four million, nine hundred twenty thousand, one hundred".