151560000 has 210 divisors, whose sum is σ = 544139882. Its totient is φ = 40320000.

The previous prime is 151559983. The next prime is 151560001. The reversal of 151560000 is 65151.

It can be written as a sum of positive squares in 5 ways, for example, as 112021056 + 39538944 = 10584^2 + 6288^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151560001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359790 + ... + 360210.

Almost surely, 2^151560000 is an apocalyptic number.

151560000 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 151560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272069941).

151560000 is an abundant number, since it is smaller than the sum of its proper divisors (392579882).

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

151560000 is an equidigital number, since it uses as much as digits as its factorization.

151560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 151560000 is about 12310.9707172099. The cubic root of 151560000 is about 533.1648773535.

The spelling of 151560000 in words is "one hundred fifty-one million, five hundred sixty thousand".