150098161920 has 576 divisors, whose sum is σ = 577275310080. Its totient is φ = 32495468544.

The previous prime is 150098161919. The next prime is 150098161933. The reversal of 150098161920 is 29161890051.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66150546 + ... + 66152814.

It is an arithmetic number, because the mean of its divisors is an integer number (1002214080).

Almost surely, 2^150098161920 is an apocalyptic number.

150098161920 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 150098161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288637655040).

150098161920 is an abundant number, since it is smaller than the sum of its proper divisors (427177148160).

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

150098161920 is a wasteful number, since it uses less digits than its factorization.

150098161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

The spelling of 150098161920 in words is "one hundred fifty billion, ninety-eight million, one hundred sixty-one thousand, nine hundred twenty".