149352841000000 has 735 divisors, whose sum is σ = 411578452529155. Its totient is φ = 53772400000000.

The previous prime is 149352840999959. The next prime is 149352841000001. The reversal of 149352841000000 is 148253941.

The square root of 149352841000000 is 12221000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 145544535585856 + 3808305414144 = 12064184^2 + 1951488^2 .

It is a super-2 number, since 2×149352841000000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149352841000001) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 1478740999950 + ... + 1478741000050.

Almost surely, 2^{149352841000000} is an apocalyptic number.

149352841000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

149352841000000 is the 12221000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149352841000000

149352841000000 is an abundant number, since it is smaller than the sum of its proper divisors (262225611529155).

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

149352841000000 is an frugal number, since it uses more digits than its factorization.

149352841000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

Adding to 149352841000000 its reverse (148253941), we get a palindrome (149352989253941).

The spelling of 149352841000000 in words is "one hundred forty-nine trillion, three hundred fifty-two billion, eight hundred forty-one million", and thus it is an aban number.