151048800 has 504 divisors, whose sum is σ = 648927216. Its totient is φ = 33592320.

The previous prime is 151048789. The next prime is 151048813. The reversal of 151048800 is 8840151.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4082382 + ... + 4082418.

It is an arithmetic number, because the mean of its divisors is an integer number (1287554).

Almost surely, 2^151048800 is an apocalyptic number.

151048800 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 151048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324463608).

151048800 is an abundant number, since it is smaller than the sum of its proper divisors (497878416).

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

151048800 is an equidigital number, since it uses as much as digits as its factorization.

151048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 151048800 is about 12290.1912108803. The cubic root of 151048800 is about 532.5647610187.

Adding to 151048800 its reverse (8840151), we get a palindrome (159888951).

The spelling of 151048800 in words is "one hundred fifty-one million, forty-eight thousand, eight hundred".