150278016 has 128 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 41748480.

The previous prime is 150278003. The next prime is 150278027. The reversal of 150278016 is 610872051.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98701 + ... + 100211.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820).

Almost surely, 2^150278016 is an apocalyptic number.

150278016 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 150278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

150278016 is an abundant number, since it is smaller than the sum of its proper divisors (318562944).

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

150278016 is a wasteful number, since it uses less digits than its factorization.

150278016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 150278016 is about 12258.7934153407. The cubic root of 150278016 is about 531.6573443114.

The spelling of 150278016 in words is "one hundred fifty million, two hundred seventy-eight thousand, sixteen".