150465888 has 72 divisors (see below), whose sum is σ = 430263288. Its totient is φ = 49876992.

The previous prime is 150465881. The next prime is 150465893. The reversal of 150465888 is 888564051.

150465888 is a `hidden beast` number, since 1 + 504 + 65 + 8 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150465881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54231 + ... + 56937.

It is an arithmetic number, because the mean of its divisors is an integer number (5975879).

Almost surely, 2^150465888 is an apocalyptic number.

150465888 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 150465888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215131644).

150465888 is an abundant number, since it is smaller than the sum of its proper divisors (279797400).

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

150465888 is a wasteful number, since it uses less digits than its factorization.

150465888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The square root of 150465888 is about 12266.4537662684. The cubic root of 150465888 is about 531.8788048120.

The spelling of 150465888 in words is "one hundred fifty million, four hundred sixty-five thousand, eight hundred eighty-eight".