150955200 has 252 divisors, whose sum is σ = 585920088. Its totient is φ = 36556800.

The previous prime is 150955199. The next prime is 150955201. The reversal of 150955200 is 2559051.

150955200 = T₃₉₅ + T₃₉₆ + ... + T₉₈₈.

150955200 is a `hidden beast` number, since 1 + 50 + 95 + 520 + 0 = 666.

150955200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (150955199) and next prime (150955201).

It is not an unprimeable number, because it can be changed into a prime (150955201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157924 + ... + 158876.

Almost surely, 2^150955200 is an apocalyptic number.

150955200 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 150955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292960044).

150955200 is an abundant number, since it is smaller than the sum of its proper divisors (434964888).

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

150955200 is a wasteful number, since it uses less digits than its factorization.

150955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 150955200 is about 12286.3827060693. The cubic root of 150955200 is about 532.4547339688.

The spelling of 150955200 in words is "one hundred fifty million, nine hundred fifty-five thousand, two hundred".