149368900 has 72 divisors (see below), whose sum is σ = 342103104. Its totient is φ = 56496000.

The previous prime is 149368883. The next prime is 149368907. The reversal of 149368900 is 9863941.

It is a super-2 number, since 2×149368900² = 44622136574420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149368907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231979 + ... + 232621.

It is an arithmetic number, because the mean of its divisors is an integer number (4751432).

Almost surely, 2^149368900 is an apocalyptic number.

149368900 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 149368900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171051552).

149368900 is an abundant number, since it is smaller than the sum of its proper divisors (192734204).

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

149368900 is a wasteful number, since it uses less digits than its factorization.

149368900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 149368900 is about 12221.6570071329. The cubic root of 149368900 is about 530.5830772932.

The spelling of 149368900 in words is "one hundred forty-nine million, three hundred sixty-eight thousand, nine hundred".