151012800 has 126 divisors (see below), whose sum is σ = 536786328. Its totient is φ = 40266240.

The previous prime is 151012783. The next prime is 151012903. The reversal of 151012800 is 8210151.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9157 + ... + 19643.

Almost surely, 2^151012800 is an apocalyptic number.

151012800 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 151012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268393164).

151012800 is an abundant number, since it is smaller than the sum of its proper divisors (385773528).

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

151012800 is a wasteful number, since it uses less digits than its factorization.

151012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10515 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 151012800 is about 12288.7265410212. The cubic root of 151012800 is about 532.5224483031.

Adding to 151012800 its reverse (8210151), we get a palindrome (159222951).

The spelling of 151012800 in words is "one hundred fifty-one million, twelve thousand, eight hundred".