150451200 has 198 divisors, whose sum is σ = 539511414. Its totient is φ = 40058880.

The previous prime is 150451199. The next prime is 150451243. The reversal of 150451200 is 2154051.

150451200 is a `hidden beast` number, since 15 + 0 + 451 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1806336 + 148644864 = 1344^2 + 12192^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 230074 + ... + 230726.

Almost surely, 2^150451200 is an apocalyptic number.

150451200 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 150451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269755707).

150451200 is an abundant number, since it is smaller than the sum of its proper divisors (389060214).

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

150451200 is a wasteful number, since it uses less digits than its factorization.

150451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 150451200 is about 12265.8550456134. The cubic root of 150451200 is about 531.8614974780.

The spelling of 150451200 in words is "one hundred fifty million, four hundred fifty-one thousand, two hundred".