149035200 has 168 divisors, whose sum is σ = 497951760. Its totient is φ = 39014400.

The previous prime is 149035189. The next prime is 149035231. The reversal of 149035200 is 2530941.

149035200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×149035200⁵ (a number of 42 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292546 + ... + 293054.

Almost surely, 2^149035200 is an apocalyptic number.

149035200 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 149035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248975880).

149035200 is an abundant number, since it is smaller than the sum of its proper divisors (348916560).

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

149035200 is a wasteful number, since it uses less digits than its factorization.

149035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 149035200 is about 12207.9973787677. The cubic root of 149035200 is about 530.1876634597.

The spelling of 149035200 in words is "one hundred forty-nine million, thirty-five thousand, two hundred".