150138838080 has 1344 divisors, whose sum is σ = 675002764800. Its totient is φ = 30346444800.

The previous prime is 150138838067. The next prime is 150138838099. The reversal of 150138838080 is 80838831051.

It is a happy number.

150138838080 is a `hidden beast` number, since 1 + 501 + 38 + 8 + 38 + 0 + 80 = 666.

150138838080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 445515672 + ... + 445516008.

It is an arithmetic number, because the mean of its divisors is an integer number (502234200).

Almost surely, 2^150138838080 is an apocalyptic number.

150138838080 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 150138838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337501382400).

150138838080 is an abundant number, since it is smaller than the sum of its proper divisors (524863926720).

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

150138838080 is a wasteful number, since it uses less digits than its factorization.

150138838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 150138838080 in words is "one hundred fifty billion, one hundred thirty-eight million, eight hundred thirty-eight thousand, eighty".