151353600 has 108 divisors (see below), whose sum is σ = 499561776. Its totient is φ = 40355840.

The previous prime is 151353599. The next prime is 151353619. The reversal of 151353600 is 6353151.

151353600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15259 + ... + 23141.

It is an arithmetic number, because the mean of its divisors is an integer number (4625572).

Almost surely, 2^151353600 is an apocalyptic number.

151353600 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 151353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249780888).

151353600 is an abundant number, since it is smaller than the sum of its proper divisors (348208176).

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

151353600 is an equidigital number, since it uses as much as digits as its factorization.

151353600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7912 (or 7893 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 151353600 is about 12302.5850941987. The cubic root of 151353600 is about 532.9227395355.

The spelling of 151353600 in words is "one hundred fifty-one million, three hundred fifty-three thousand, six hundred".