150634016 has 48 divisors (see below), whose sum is σ = 322752024. Its totient is φ = 68788224.

The previous prime is 150634007. The next prime is 150634019. The reversal of 150634016 is 610436051.

150634016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 104121616 + 46512400 = 10204^2 + 6820^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (150634019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38486 + ... + 42218.

Almost surely, 2^150634016 is an apocalyptic number.

150634016 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 150634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161376012).

150634016 is an abundant number, since it is smaller than the sum of its proper divisors (172118008).

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

150634016 is a wasteful number, since it uses less digits than its factorization.

150634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 150634016 is about 12273.3050153575. The cubic root of 150634016 is about 532.0768351534.

The spelling of 150634016 in words is "one hundred fifty million, six hundred thirty-four thousand, sixteen".