150342576898032 has 400 divisors, whose sum is σ = 450161367828480. Its totient is φ = 48404653069824.

The previous prime is 150342576898001. The next prime is 150342576898061. The reversal of 150342576898032 is 230898675243051.

150342576898032 is a `hidden beast` number, since 1 + 50 + 3 + 4 + 2 + 576 + 8 + 9 + 8 + 0 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3838873683 + ... + 3838912845.

It is a 1-persistent number, because it is pandigital, but 2⋅150342576898032 = 300685153796064 is not.

Almost surely, 2^{150342576898032} is an apocalyptic number.

150342576898032 is a gapful number since it is divisible by the number (12) 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 150342576898032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225080683914240).

150342576898032 is an abundant number, since it is smaller than the sum of its proper divisors (299818790930448).

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

150342576898032 is a wasteful number, since it uses less digits than its factorization.

150342576898032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39802 (or 39787 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 150342576898032 in words is "one hundred fifty trillion, three hundred forty-two billion, five hundred seventy-six million, eight hundred ninety-eight thousand, thirty-two".