151603200 has 432 divisors, whose sum is σ = 633709440. Its totient is φ = 33914880.

The previous prime is 151603183. The next prime is 151603211. The reversal of 151603200 is 2306151.

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, 3225577 + ... + 3225623.

It is an arithmetic number, because the mean of its divisors is an integer number (1466920).

Almost surely, 2^151603200 is an apocalyptic number.

151603200 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 151603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316854720).

151603200 is an abundant number, since it is smaller than the sum of its proper divisors (482106240).

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

151603200 is a wasteful number, since it uses less digits than its factorization.

151603200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

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

The square root of 151603200 is about 12312.7251248454. The cubic root of 151603200 is about 533.2155295367.

Adding to 151603200 its reverse (2306151), we get a palindrome (153909351).

It can be divided in two parts, 151 and 603200, that added together give a triangular number (603351 = T₁₀₉₈).

The spelling of 151603200 in words is "one hundred fifty-one million, six hundred three thousand, two hundred".