150768800 has 288 divisors, whose sum is σ = 481219200. Its totient is φ = 44789760.

The previous prime is 150768797. The next prime is 150768811. The reversal of 150768800 is 8867051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1383146 + ... + 1383254.

It is an arithmetic number, because the mean of its divisors is an integer number (1670900).

Almost surely, 2^150768800 is an apocalyptic number.

150768800 is a gapful number since it is divisible by the number (10) 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 150768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240609600).

150768800 is an abundant number, since it is smaller than the sum of its proper divisors (330450400).

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

150768800 is a wasteful number, since it uses less digits than its factorization.

150768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 150768800 is about 12278.7947291255. The cubic root of 150768800 is about 532.2354847220.

It can be divided in two parts, 1507 and 68800, that added together give a palindrome (70307).

The spelling of 150768800 in words is "one hundred fifty million, seven hundred sixty-eight thousand, eight hundred".