150993612 has 192 divisors, whose sum is σ = 497172480. Its totient is φ = 38491200.

The previous prime is 150993599. The next prime is 150993617. The reversal of 150993612 is 216399051.

150993612 is a `hidden beast` number, since 1 + 509 + 93 + 61 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (150993617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 557037 + ... + 557307.

It is an arithmetic number, because the mean of its divisors is an integer number (2589440).

Almost surely, 2^150993612 is an apocalyptic number.

150993612 is a gapful number since it is divisible by the number (12) 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 150993612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248586240).

150993612 is an abundant number, since it is smaller than the sum of its proper divisors (346178868).

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

150993612 is a wasteful number, since it uses less digits than its factorization.

150993612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 150993612 is about 12287.9458006617. The cubic root of 150993612 is about 532.4998928784.

The spelling of 150993612 in words is "one hundred fifty million, nine hundred ninety-three thousand, six hundred twelve".