150601200 has 120 divisors (see below), whose sum is σ = 494353776. Its totient is φ = 39168000.

The previous prime is 150601189. The next prime is 150601219. The reversal of 150601200 is 2106051.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 150601200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47670 + ... + 50730.

Almost surely, 2^150601200 is an apocalyptic number.

150601200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

150601200 is the 6560-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247176888).

150601200 is an abundant number, since it is smaller than the sum of its proper divisors (343752576).

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

150601200 is a wasteful number, since it uses less digits than its factorization.

150601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3123 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 150601200 is about 12271.9680573248. The cubic root of 150601200 is about 532.0381942541.

Adding to 150601200 its reverse (2106051), we get a palindrome (152707251).

The spelling of 150601200 in words is "one hundred fifty million, six hundred one thousand, two hundred".