149469600 has 432 divisors, whose sum is σ = 598461696. Its totient is φ = 32256000.

The previous prime is 149469587. The next prime is 149469601. The reversal of 149469600 is 6964941.

It is a super-3 number, since 3×149469600³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (149469601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3645580 + ... + 3645620.

It is an arithmetic number, because the mean of its divisors is an integer number (1385328).

Almost surely, 2^149469600 is an apocalyptic number.

149469600 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 149469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299230848).

149469600 is an abundant number, since it is smaller than the sum of its proper divisors (448992096).

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

149469600 is a wasteful number, since it uses less digits than its factorization.

149469600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 149469600 is about 12225.7760489876. The cubic root of 149469600 is about 530.7022848691.

The spelling of 149469600 in words is "one hundred forty-nine million, four hundred sixty-nine thousand, six hundred".