150693984 has 144 divisors (see below), whose sum is σ = 518682528. Its totient is φ = 40513536.

The previous prime is 150693941. The next prime is 150694051. The reversal of 150693984 is 489396051.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32074 + ... + 36470.

It is an arithmetic number, because the mean of its divisors is an integer number (3601962).

Almost surely, 2^150693984 is an apocalyptic number.

150693984 is a gapful number since it is divisible by the number (14) 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 150693984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259341264).

150693984 is an abundant number, since it is smaller than the sum of its proper divisors (367988544).

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

150693984 is a wasteful number, since it uses less digits than its factorization.

150693984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 150693984 is about 12275.7477979959. The cubic root of 150693984 is about 532.1474330861.

The spelling of 150693984 in words is "one hundred fifty million, six hundred ninety-three thousand, nine hundred eighty-four".