150381504 has 336 divisors, whose sum is σ = 562132480. Its totient is φ = 37324800.

The previous prime is 150381499. The next prime is 150381557. The reversal of 150381504 is 405183051.

150381504 is a `hidden beast` number, since 1 + 503 + 8 + 150 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×150381504² = 45229193490604032, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 995829 + ... + 995979.

Almost surely, 2^150381504 is an apocalyptic number.

150381504 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 150381504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281066240).

150381504 is an abundant number, since it is smaller than the sum of its proper divisors (411750976).

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

150381504 is a wasteful number, since it uses less digits than its factorization.

150381504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 150381504 is about 12263.0136589665. The cubic root of 150381504 is about 531.7793571243.

The spelling of 150381504 in words is "one hundred fifty million, three hundred eighty-one thousand, five hundred four".