149967100 has 36 divisors (see below), whose sum is σ = 327800200. Its totient is φ = 59549760.

The previous prime is 149967079. The next prime is 149967109. The reversal of 149967100 is 1769941.

It is a self number, because there is not a number n which added to its sum of digits gives 149967100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149967109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8506 + ... + 19294.

Almost surely, 2^149967100 is an apocalyptic number.

149967100 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 149967100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163900100).

149967100 is an abundant number, since it is smaller than the sum of its proper divisors (177833100).

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

149967100 is a wasteful number, since it uses less digits than its factorization.

149967100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10942 (or 10935 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 149967100 is about 12246.1055033835. The cubic root of 149967100 is about 531.2904356765.

The spelling of 149967100 in words is "one hundred forty-nine million, nine hundred sixty-seven thousand, one hundred".