150742200 has 192 divisors, whose sum is σ = 562464000. Its totient is φ = 32624640.

The previous prime is 150742177. The next prime is 150742201. The reversal of 150742200 is 2247051.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150742201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 78856 + ... + 80744.

It is an arithmetic number, because the mean of its divisors is an integer number (2929500).

Almost surely, 2^150742200 is an apocalyptic number.

150742200 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 150742200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232000).

150742200 is an abundant number, since it is smaller than the sum of its proper divisors (411721800).

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

150742200 is a wasteful number, since it uses less digits than its factorization.

150742200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 150742200 is about 12277.7115131445. The cubic root of 150742200 is about 532.2041822762.

Adding to 150742200 its reverse (2247051), we get a palindrome (152989251).

The spelling of 150742200 in words is "one hundred fifty million, seven hundred forty-two thousand, two hundred".