149200715664 has 800 divisors, whose sum is σ = 592378085376. Its totient is φ = 34996976640.

The previous prime is 149200715663. The next prime is 149200715687. The reversal of 149200715664 is 466517002941.

149200715664 is a `hidden beast` number, since 1 + 492 + 0 + 0 + 7 + 156 + 6 + 4 = 666.

149200715664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (149200715663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60971689 + ... + 60974135.

Almost surely, 2^149200715664 is an apocalyptic number.

149200715664 is a gapful number since it is divisible by the number (14) 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 149200715664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296189042688).

149200715664 is an abundant number, since it is smaller than the sum of its proper divisors (443177369712).

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

149200715664 is a wasteful number, since it uses less digits than its factorization.

149200715664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 149200715664 in words is "one hundred forty-nine billion, two hundred million, seven hundred fifteen thousand, six hundred sixty-four".