149084100 has 243 divisors, whose sum is σ = 527896551. Its totient is φ = 35164800.

The previous prime is 149084087. The next prime is 149084147. The reversal of 149084100 is 1480941.

The square root of 149084100 is 12210.

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

149084100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14152644 + 134931456 = 3762^2 + 11616^2 .

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, 4029282 + ... + 4029318.

Almost surely, 2^149084100 is an apocalyptic number.

149084100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149084100 is the 12210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149084100

149084100 is an abundant number, since it is smaller than the sum of its proper divisors (378812451).

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

149084100 is a wasteful number, since it uses less digits than its factorization.

149084100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 149084100 is about 530.2456438153.

The spelling of 149084100 in words is "one hundred forty-nine million, eighty-four thousand, one hundred".