151003200 has 168 divisors, whose sum is σ = 501038368. Its totient is φ = 39813120.

The previous prime is 151003199. The next prime is 151003213. The reversal of 151003200 is 2300151.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 782304 + ... + 782496.

Almost surely, 2^151003200 is an apocalyptic number.

151003200 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 151003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250519184).

151003200 is an abundant number, since it is smaller than the sum of its proper divisors (350035168).

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

151003200 is a wasteful number, since it uses less digits than its factorization.

151003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 151003200 is about 12288.3359329081. The cubic root of 151003200 is about 532.5111637766.

Adding to 151003200 its reverse (2300151), we get a palindrome (153303351).

The spelling of 151003200 in words is "one hundred fifty-one million, three thousand, two hundred".