149340607200 has 576 divisors, whose sum is σ = 579062312640. Its totient is φ = 37474099200.

The previous prime is 149340607193. The next prime is 149340607201. The reversal of 149340607200 is 2706043941.

149340607200 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 40 + 607 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149340607201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29740690 + ... + 29745710.

It is an arithmetic number, because the mean of its divisors is an integer number (1005316515).

Almost surely, 2^149340607200 is an apocalyptic number.

149340607200 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 149340607200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289531156320).

149340607200 is an abundant number, since it is smaller than the sum of its proper divisors (429721705440).

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

149340607200 is an equidigital number, since it uses as much as digits as its factorization.

149340607200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5048 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 149340607200 in words is "one hundred forty-nine billion, three hundred forty million, six hundred seven thousand, two hundred".