150074496 has 192 divisors, whose sum is σ = 507911040. Its totient is φ = 41932800.

The previous prime is 150074489. The next prime is 150074497. The reversal of 150074496 is 694470051.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 150074496.

It is not an unprimeable number, because it can be changed into a prime (150074497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164281 + ... + 165191.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^150074496 is an apocalyptic number.

150074496 is a gapful number since it is divisible by the number (16) 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 150074496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253955520).

150074496 is an abundant number, since it is smaller than the sum of its proper divisors (357836544).

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

150074496 is a wasteful number, since it uses less digits than its factorization.

150074496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 150074496 is about 12250.4896228681. The cubic root of 150074496 is about 531.4172298258.

It can be divided in two parts, 15007 and 4496, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 150074496 in words is "one hundred fifty million, seventy-four thousand, four hundred ninety-six".