150213600 has 216 divisors, whose sum is σ = 547589952. Its totient is φ = 38707200.

The previous prime is 150213589. The next prime is 150213611. The reversal of 150213600 is 6312051.

150213600 is a `hidden beast` number, since 1 + 50 + 2 + 13 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (150213589) and next prime (150213611).

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 35 ways as a sum of consecutive naturals, for example, 222864 + ... + 223536.

Almost surely, 2^150213600 is an apocalyptic number.

150213600 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 150213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273794976).

150213600 is an abundant number, since it is smaller than the sum of its proper divisors (397376352).

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

150213600 is a wasteful number, since it uses less digits than its factorization.

150213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 150213600 is about 12256.1657952232. The cubic root of 150213600 is about 531.5813692734.

Adding to 150213600 its reverse (6312051), we get a palindrome (156525651).

The spelling of 150213600 in words is "one hundred fifty million, two hundred thirteen thousand, six hundred".