150258043703040 has 1152 divisors, whose sum is σ = 645546719526912. Its totient is φ = 28875376558080.

The previous prime is 150258043702969. The next prime is 150258043703051. The reversal of 150258043703040 is 40307340852051.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 150258043702983 and 150258043703001.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 183746914 + ... + 184562846.

It is an arithmetic number, because the mean of its divisors is an integer number (560370416256).

Almost surely, 2^{150258043703040} is an apocalyptic number.

150258043703040 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 150258043703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322773359763456).

150258043703040 is an abundant number, since it is smaller than the sum of its proper divisors (495288675823872).

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

150258043703040 is a wasteful number, since it uses less digits than its factorization.

150258043703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816025 (or 816011 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 150258043703040 in words is "one hundred fifty trillion, two hundred fifty-eight billion, forty-three million, seven hundred three thousand, forty".