150741226286784 has 560 divisors, whose sum is σ = 542776208832000. Its totient is φ = 40405980155904.

The previous prime is 150741226286773. The next prime is 150741226286797. The reversal of 150741226286784 is 487682622147051.

150741226286784 is a `hidden beast` number, since 1 + 5 + 0 + 7 + 412 + 2 + 62 + 86 + 7 + 84 = 666.

It is a super-2 number, since 2×150741226286784² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 69954292 + ... + 72076940.

Almost surely, 2^{150741226286784} is an apocalyptic number.

150741226286784 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 150741226286784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271388104416000).

150741226286784 is an abundant number, since it is smaller than the sum of its proper divisors (392034982545216).

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

150741226286784 is a wasteful number, since it uses less digits than its factorization.

150741226286784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122802 (or 2122783 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 150741226286784 in words is "one hundred fifty trillion, seven hundred forty-one billion, two hundred twenty-six million, two hundred eighty-six thousand, seven hundred eighty-four".