149251872000 has 1152 divisors, whose sum is σ = 630095671296. Its totient is φ = 30412800000.

The previous prime is 149251871999. The next prime is 149251872017. The reversal of 149251872000 is 278152941.

It is a super-2 number, since 2×149251872000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149251872000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 450911835 + ... + 450912165.

It is an arithmetic number, because the mean of its divisors is an integer number (546958048).

Almost surely, 2^149251872000 is an apocalyptic number.

149251872000 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 149251872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315047835648).

149251872000 is an abundant number, since it is smaller than the sum of its proper divisors (480843799296).

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

149251872000 is a wasteful number, since it uses less digits than its factorization.

149251872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 149251872000 in words is "one hundred forty-nine billion, two hundred fifty-one million, eight hundred seventy-two thousand".