151075600 has 120 divisors (see below), whose sum is σ = 414114120. Its totient is φ = 52469760.

The previous prime is 151075487. The next prime is 151075601. The reversal of 151075600 is 6570151.

It can be written as a sum of positive squares in 12 ways, for example, as 70291456 + 80784144 = 8384^2 + 8988^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (151075601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87546 + ... + 89254.

It is an arithmetic number, because the mean of its divisors is an integer number (3450951).

Almost surely, 2^151075600 is an apocalyptic number.

151075600 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 151075600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207057060).

151075600 is an abundant number, since it is smaller than the sum of its proper divisors (263038520).

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

151075600 is a wasteful number, since it uses less digits than its factorization.

151075600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 151075600 is about 12291.2814628907. The cubic root of 151075600 is about 532.5962561195.

The spelling of 151075600 in words is "one hundred fifty-one million, seventy-five thousand, six hundred".