149191450786560 has 1152 divisors, whose sum is σ = 599517928396800. Its totient is φ = 31419234975744.

The previous prime is 149191450786493. The next prime is 149191450786589. The reversal of 149191450786560 is 65687054191941.

It is a junction number, because it is equal to n+sod(n) for n = 149191450786491 and 149191450786500.

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 127 ways as a sum of consecutive naturals, for example, 9537258099 + ... + 9537273741.

It is an arithmetic number, because the mean of its divisors is an integer number (520414868400).

Almost surely, 2^{149191450786560} is an apocalyptic number.

149191450786560 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 149191450786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299758964198400).

149191450786560 is an abundant number, since it is smaller than the sum of its proper divisors (450326477610240).

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

149191450786560 is a wasteful number, since it uses less digits than its factorization.

149191450786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16258 (or 16230 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 66.

The spelling of 149191450786560 in words is "one hundred forty-nine trillion, one hundred ninety-one billion, four hundred fifty million, seven hundred eighty-six thousand, five hundred sixty".