149773294476100 has 81 divisors (see below), whose sum is σ = 325598415954231. Its totient is φ = 59800691616000.

The previous prime is 149773294476097. The next prime is 149773294476101. The reversal of 149773294476100 is 1674492377941.

The square root of 149773294476100 is 12238190.

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 89923761358596 + 59849533117504 = 9482814^2 + 7736248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149773294476101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 124707155500 + ... + 124707156700.

Almost surely, 2^{149773294476100} is an apocalyptic number.

149773294476100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149773294476100 is the 12238190-th square number.

It is an amenable number.

149773294476100 is an abundant number, since it is smaller than the sum of its proper divisors (175825121478131).

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

149773294476100 is an frugal number, since it uses more digits than its factorization.

149773294476100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4454 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 64.

The spelling of 149773294476100 in words is "one hundred forty-nine trillion, seven hundred seventy-three billion, two hundred ninety-four million, four hundred seventy-six thousand, one hundred".