149893447267200 has 768 divisors, whose sum is σ = 607771875110400. Its totient is φ = 31619265822720.

The previous prime is 149893447267181. The next prime is 149893447267219. The reversal of 149893447267200 is 2762744398941.

It is an interprime number because it is at equal distance from previous prime (149893447267181) and next prime (149893447267219).

It is a super-3 number, since 3×149893447267200³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4973389731 + ... + 4973419869.

It is an arithmetic number, because the mean of its divisors is an integer number (791369629050).

Almost surely, 2^{149893447267200} is an apocalyptic number.

149893447267200 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 149893447267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303885937555200).

149893447267200 is an abundant number, since it is smaller than the sum of its proper divisors (457878427843200).

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

149893447267200 is a wasteful number, since it uses less digits than its factorization.

149893447267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35879 (or 35862 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 149893447267200 in words is "one hundred forty-nine trillion, eight hundred ninety-three billion, four hundred forty-seven million, two hundred sixty-seven thousand, two hundred".