149513688900 has 81 divisors (see below), whose sum is σ = 468678714231. Its totient is φ = 39867223680.

The previous prime is 149513688893. The next prime is 149513688901. The reversal of 149513688900 is 9886315941.

The square root of 149513688900 is 386670.

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

149513688900 is a `hidden beast` number, since 1 + 49 + 513 + 6 + 8 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41757444 + 149471931456 = 6462^2 + 386616^2 .

It is not an unprimeable number, because it can be changed into a prime (149513688901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11593656 + ... + 11606544.

Almost surely, 2^149513688900 is an apocalyptic number.

149513688900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149513688900 is the 386670-th square number.

It is an amenable number.

149513688900 is an abundant number, since it is smaller than the sum of its proper divisors (319165025331).

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

149513688900 is an equidigital number, since it uses as much as digits as its factorization.

149513688900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25798 (or 12899 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 149513688900 in words is "one hundred forty-nine billion, five hundred thirteen million, six hundred eighty-eight thousand, nine hundred".