149129100 has 324 divisors, whose sum is σ = 541699704. Its totient is φ = 35458560.

The previous prime is 149129077. The next prime is 149129131. The reversal of 149129100 is 1921941.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7848891 + ... + 7848909.

Almost surely, 2^149129100 is an apocalyptic number.

149129100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149129100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270849852).

149129100 is an abundant number, since it is smaller than the sum of its proper divisors (392570604).

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

149129100 is a wasteful number, since it uses less digits than its factorization.

149129100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 149129100 is about 12211.8426128083. The cubic root of 149129100 is about 530.2989887699.

The spelling of 149129100 in words is "one hundred forty-nine million, one hundred twenty-nine thousand, one hundred".