149527770768000 has 2048 divisors, whose sum is σ = 593912217600000. Its totient is φ = 36863963136000.

The previous prime is 149527770767957. The next prime is 149527770768053. The reversal of 149527770768000 is 867077725941.

149527770768000 is a `hidden beast` number, since 1 + 49 + 527 + 7 + 7 + 0 + 7 + 68 + 0 + 0 + 0 = 666.

149527770768000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57710446705 + ... + 57710449295.

It is an arithmetic number, because the mean of its divisors is an integer number (289996200000).

Almost surely, 2^{149527770768000} is an apocalyptic number.

149527770768000 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 149527770768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296956108800000).

149527770768000 is an abundant number, since it is smaller than the sum of its proper divisors (444384446832000).

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

149527770768000 is a wasteful number, since it uses less digits than its factorization.

149527770768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 149527770768000 in words is "one hundred forty-nine trillion, five hundred twenty-seven billion, seven hundred seventy million, seven hundred sixty-eight thousand".