151300800 has 504 divisors, whose sum is σ = 655116800. Its totient is φ = 32348160.

The previous prime is 151300771. The next prime is 151300813. The reversal of 151300800 is 8003151.

151300800 = 81³ + 82³ + ... + 159³.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1915161 + ... + 1915239.

Almost surely, 2^151300800 is an apocalyptic number.

151300800 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 151300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327558400).

151300800 is an abundant number, since it is smaller than the sum of its proper divisors (503816000).

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

151300800 is a wasteful number, since it uses less digits than its factorization.

151300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 151300800 is about 12300.4390165555. The cubic root of 151300800 is about 532.8607619473.

Adding to 151300800 its reverse (8003151), we get a palindrome (159303951).

It can be divided in two parts, 151300 and 800, that added together give a square (152100 = 390²).

The spelling of 151300800 in words is "one hundred fifty-one million, three hundred thousand, eight hundred".