150361600 has 120 divisors (see below), whose sum is σ = 395017128. Its totient is φ = 56524800.

The previous prime is 150361537. The next prime is 150361609. The reversal of 150361600 is 6163051.

It is a super-2 number, since 2×150361600² = 45217221509120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150361609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217255 + ... + 217945.

Almost surely, 2^150361600 is an apocalyptic number.

150361600 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 150361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197508564).

150361600 is an abundant number, since it is smaller than the sum of its proper divisors (244655528).

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

150361600 is an equidigital number, since it uses as much as digits as its factorization.

150361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 150361600 is about 12262.2020860855. The cubic root of 150361600 is about 531.7558945684.

The spelling of 150361600 in words is "one hundred fifty million, three hundred sixty-one thousand, six hundred".