149346126000 has 320 divisors, whose sum is σ = 535716604800. Its totient is φ = 39771648000.

The previous prime is 149346125969. The next prime is 149346126001. The reversal of 149346126000 is 621643941.

149346126000 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 46 + 1 + 2 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (149346126001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54484630 + ... + 54487370.

It is an arithmetic number, because the mean of its divisors is an integer number (1674114390).

Almost surely, 2^149346126000 is an apocalyptic number.

149346126000 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 149346126000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267858302400).

149346126000 is an abundant number, since it is smaller than the sum of its proper divisors (386370478800).

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

149346126000 is a wasteful number, since it uses less digits than its factorization.

149346126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 149346126000 its reverse (621643941), we get a palindrome (149967769941).

The spelling of 149346126000 in words is "one hundred forty-nine billion, three hundred forty-six million, one hundred twenty-six thousand".