149097600 has 288 divisors, whose sum is σ = 552464640. Its totient is φ = 38246400.

The previous prime is 149097589. The next prime is 149097623. The reversal of 149097600 is 6790941.

149097600 is a `hidden beast` number, since 1 + 49 + 0 + 9 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×149097600³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892717 + ... + 892883.

It is an arithmetic number, because the mean of its divisors is an integer number (1918280).

Almost surely, 2^149097600 is an apocalyptic number.

149097600 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 149097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276232320).

149097600 is an abundant number, since it is smaller than the sum of its proper divisors (403367040).

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

149097600 is a wasteful number, since it uses less digits than its factorization.

149097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 149097600 is about 12210.5528130384. The cubic root of 149097600 is about 530.2616484287.

The spelling of 149097600 in words is "one hundred forty-nine million, ninety-seven thousand, six hundred".