150488138304 has 224 divisors, whose sum is σ = 515928864000. Its totient is φ = 42996441600.

The previous prime is 150488138299. The next prime is 150488138309. The reversal of 150488138304 is 403831884051.

150488138304 is a `hidden beast` number, since 1 + 5 + 0 + 488 + 138 + 30 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (150488138299) and next prime (150488138309).

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 150488138304.

It is not an unprimeable number, because it can be changed into a prime (150488138309) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 465754 + ... + 719654.

Almost surely, 2^150488138304 is an apocalyptic number.

150488138304 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 150488138304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257964432000).

150488138304 is an abundant number, since it is smaller than the sum of its proper divisors (365440725696).

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

150488138304 is an equidigital number, since it uses as much as digits as its factorization.

150488138304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253943 (or 253913 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 150488138304 in words is "one hundred fifty billion, four hundred eighty-eight million, one hundred thirty-eight thousand, three hundred four".