149349029800320 has 960 divisors, whose sum is σ = 640444503980160. Its totient is φ = 33035712675840.

The previous prime is 149349029800303. The next prime is 149349029800337. The reversal of 149349029800320 is 23008920943941.

149349029800320 is a `hidden beast` number, since 1 + 4 + 9 + 349 + 0 + 298 + 0 + 0 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (149349029800303) and next prime (149349029800337).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 77796652 + ... + 79693268.

It is an arithmetic number, because the mean of its divisors is an integer number (667129691646).

Almost surely, 2^{149349029800320} is an apocalyptic number.

149349029800320 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 149349029800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320222251990080).

149349029800320 is an abundant number, since it is smaller than the sum of its proper divisors (491095474179840).

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

149349029800320 is a wasteful number, since it uses less digits than its factorization.

149349029800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896693 (or 1896665 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 149349029800320 in words is "one hundred forty-nine trillion, three hundred forty-nine billion, twenty-nine million, eight hundred thousand, three hundred twenty".