149915851956000 has 576 divisors, whose sum is σ = 573263044623360. Its totient is φ = 36884030515200.

The previous prime is 149915851955921. The next prime is 149915851956061. The reversal of 149915851956000 is 659158519941.

149915851956000 is a `hidden beast` number, since 1 + 4 + 9 + 9 + 1 + 5 + 8 + 5 + 19 + 5 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 954173449 + ... + 954330551.

It is an arithmetic number, because the mean of its divisors is an integer number (995248341360).

Almost surely, 2^{149915851956000} is an apocalyptic number.

149915851956000 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 149915851956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286631522311680).

149915851956000 is an abundant number, since it is smaller than the sum of its proper divisors (423347192667360).

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

149915851956000 is a wasteful number, since it uses less digits than its factorization.

149915851956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159186 (or 159165 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 63.

The spelling of 149915851956000 in words is "one hundred forty-nine trillion, nine hundred fifteen billion, eight hundred fifty-one million, nine hundred fifty-six thousand".