149167419963200 has 672 divisors, whose sum is σ = 395160100134912. Its totient is φ = 55282991104000.

The previous prime is 149167419963197. The next prime is 149167419963203. The reversal of 149167419963200 is 2369914761941.

It is an interprime number because it is at equal distance from previous prime (149167419963197) and next prime (149167419963203).

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149167419963203) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 169316026760 + ... + 169316027640.

It is an arithmetic number, because the mean of its divisors is an integer number (588035863296).

Almost surely, 2^{149167419963200} is an apocalyptic number.

149167419963200 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 149167419963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197580050067456).

149167419963200 is an abundant number, since it is smaller than the sum of its proper divisors (245992680171712).

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

149167419963200 is a wasteful number, since it uses less digits than its factorization.

149167419963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 62.

The spelling of 149167419963200 in words is "one hundred forty-nine trillion, one hundred sixty-seven billion, four hundred nineteen million, nine hundred sixty-three thousand, two hundred".