149568148800 has 1512 divisors, whose sum is σ = 674460351864. Its totient is φ = 31213486080.

The previous prime is 149568148799. The next prime is 149568148801. The reversal of 149568148800 is 8841865941.

It is a happy number.

149568148800 is a `hidden beast` number, since 1 + 495 + 6 + 8 + 148 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149568148799) and next prime (149568148801).

It can be written as a sum of positive squares in 12 ways, for example, as 11344806144 + 138223342656 = 106512^2 + 371784^2 .

It is a super-2 number, since 2×149568148800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149568148801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 443822232 + ... + 443822568.

Almost surely, 2^149568148800 is an apocalyptic number.

149568148800 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 149568148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337230175932).

149568148800 is an abundant number, since it is smaller than the sum of its proper divisors (524892203064).

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

149568148800 is a wasteful number, since it uses less digits than its factorization.

149568148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 149568148800 in words is "one hundred forty-nine billion, five hundred sixty-eight million, one hundred forty-eight thousand, eight hundred".