150356448 has 144 divisors (see below), whose sum is σ = 481807872. Its totient is φ = 44064000.

The previous prime is 150356447. The next prime is 150356461. The reversal of 150356448 is 844653051.

It is a happy number.

150356448 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 5 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×150356448² = 45214122910353408, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150356447) 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, 97443 + ... + 98973.

It is an arithmetic number, because the mean of its divisors is an integer number (3345888).

Almost surely, 2^150356448 is an apocalyptic number.

150356448 is a gapful number since it is divisible by the number (18) 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 150356448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240903936).

150356448 is an abundant number, since it is smaller than the sum of its proper divisors (331451424).

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

150356448 is a wasteful number, since it uses less digits than its factorization.

150356448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 150356448 is about 12261.9920078265. The cubic root of 150356448 is about 531.7498211257.

The spelling of 150356448 in words is "one hundred fifty million, three hundred fifty-six thousand, four hundred forty-eight".